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Finding the Fourth Proportional to 180.52, 248.82 and 147.71

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Solution

The fourth proportional to 180.52, 248.82 and 147.71 is: 203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 248.82 = 147.71 : x
  2. Step 2: Convert to fraction form
    180.52/248.82 = 147.71/x
  3. Step 3: Cross multiply
    180.52x = 248.82 × 147.71
  4. Step 4: Simplify right side
    180.52x = 36,753.20
  5. Step 5: Solve for x
    x = 36,753.20/180.52
  6. Step 6: Final answer
    x = 203.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.