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Finding the Fourth Proportional to 155.65, 232.92 and 134.24

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Solution

The fourth proportional to 155.65, 232.92 and 134.24 is: 200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.65 : 232.92 = 134.24 : x
  2. Step 2: Convert to fraction form
    155.65/232.92 = 134.24/x
  3. Step 3: Cross multiply
    155.65x = 232.92 × 134.24
  4. Step 4: Simplify right side
    155.65x = 31,267.18
  5. Step 5: Solve for x
    x = 31,267.18/155.65
  6. Step 6: Final answer
    x = 200.88

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