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Finding the Fourth Proportional to 501.57, 752.42 and 176.89

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Solution

The fourth proportional to 501.57, 752.42 and 176.89 is: 265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 752.42 = 176.89 : x
  2. Step 2: Convert to fraction form
    501.57/752.42 = 176.89/x
  3. Step 3: Cross multiply
    501.57x = 752.42 × 176.89
  4. Step 4: Simplify right side
    501.57x = 133,095.57
  5. Step 5: Solve for x
    x = 133,095.57/501.57
  6. Step 6: Final answer
    x = 265.36

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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.