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Finding the Fourth Proportional to 180.10, 249.87 and 171.18

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Solution

The fourth proportional to 180.10, 249.87 and 171.18 is: 237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 249.87 = 171.18 : x
  2. Step 2: Convert to fraction form
    180.10/249.87 = 171.18/x
  3. Step 3: Cross multiply
    180.10x = 249.87 × 171.18
  4. Step 4: Simplify right side
    180.10x = 42,772.75
  5. Step 5: Solve for x
    x = 42,772.75/180.10
  6. Step 6: Final answer
    x = 237.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.