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Finding the Fourth Proportional to 155.56, 232.92 and 116.83

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Solution

The fourth proportional to 155.56, 232.92 and 116.83 is: 174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.56 : 232.92 = 116.83 : x
  2. Step 2: Convert to fraction form
    155.56/232.92 = 116.83/x
  3. Step 3: Cross multiply
    155.56x = 232.92 × 116.83
  4. Step 4: Simplify right side
    155.56x = 27,212.04
  5. Step 5: Solve for x
    x = 27,212.04/155.56
  6. Step 6: Final answer
    x = 174.93

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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.