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Finding the Fourth Proportional to 501.52, 752.25 and 176.86

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Solution

The fourth proportional to 501.52, 752.25 and 176.86 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.52 : 752.25 = 176.86 : x
  2. Step 2: Convert to fraction form
    501.52/752.25 = 176.86/x
  3. Step 3: Cross multiply
    501.52x = 752.25 × 176.86
  4. Step 4: Simplify right side
    501.52x = 133,042.94
  5. Step 5: Solve for x
    x = 133,042.94/501.52
  6. Step 6: Final answer
    x = 265.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.