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Finding the Fourth Proportional to 155.20, 232.49 and 116.72

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Solution

The fourth proportional to 155.20, 232.49 and 116.72 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 232.49 = 116.72 : x
  2. Step 2: Convert to fraction form
    155.20/232.49 = 116.72/x
  3. Step 3: Cross multiply
    155.20x = 232.49 × 116.72
  4. Step 4: Simplify right side
    155.20x = 27,136.23
  5. Step 5: Solve for x
    x = 27,136.23/155.20
  6. Step 6: Final answer
    x = 174.85

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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.