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Finding the Fourth Proportional to 232.52, 320.88 and 134.24

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Solution

The fourth proportional to 232.52, 320.88 and 134.24 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.52 : 320.88 = 134.24 : x
  2. Step 2: Convert to fraction form
    232.52/320.88 = 134.24/x
  3. Step 3: Cross multiply
    232.52x = 320.88 × 134.24
  4. Step 4: Simplify right side
    232.52x = 43,074.93
  5. Step 5: Solve for x
    x = 43,074.93/232.52
  6. Step 6: Final answer
    x = 185.25

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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.