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Finding the Fourth Proportional to 232.24, 320.50 and 128.76

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Solution

The fourth proportional to 232.24, 320.50 and 128.76 is: 177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 320.50 = 128.76 : x
  2. Step 2: Convert to fraction form
    232.24/320.50 = 128.76/x
  3. Step 3: Cross multiply
    232.24x = 320.50 × 128.76
  4. Step 4: Simplify right side
    232.24x = 41,267.58
  5. Step 5: Solve for x
    x = 41,267.58/232.24
  6. Step 6: Final answer
    x = 177.69

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.