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Finding the Fourth Proportional to 232.54, 320.84 and 154.91

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Solution

The fourth proportional to 232.54, 320.84 and 154.91 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 320.84 = 154.91 : x
  2. Step 2: Convert to fraction form
    232.54/320.84 = 154.91/x
  3. Step 3: Cross multiply
    232.54x = 320.84 × 154.91
  4. Step 4: Simplify right side
    232.54x = 49,701.32
  5. Step 5: Solve for x
    x = 49,701.32/232.54
  6. Step 6: Final answer
    x = 213.73

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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.