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Finding the Fourth Proportional to 501.87, 752.56 and 155.11

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Solution

The fourth proportional to 501.87, 752.56 and 155.11 is: 232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.87 : 752.56 = 155.11 : x
  2. Step 2: Convert to fraction form
    501.87/752.56 = 155.11/x
  3. Step 3: Cross multiply
    501.87x = 752.56 × 155.11
  4. Step 4: Simplify right side
    501.87x = 116,729.58
  5. Step 5: Solve for x
    x = 116,729.58/501.87
  6. Step 6: Final answer
    x = 232.59

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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.