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Finding the Fourth Proportional to 155.31, 232.56 and 120.78

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Solution

The fourth proportional to 155.31, 232.56 and 120.78 is: 180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.31 : 232.56 = 120.78 : x
  2. Step 2: Convert to fraction form
    155.31/232.56 = 120.78/x
  3. Step 3: Cross multiply
    155.31x = 232.56 × 120.78
  4. Step 4: Simplify right side
    155.31x = 28,088.60
  5. Step 5: Solve for x
    x = 28,088.60/155.31
  6. Step 6: Final answer
    x = 180.86

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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.