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Finding the Fourth Proportional to 180.01, 269.88 and 147.88

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Solution

The fourth proportional to 180.01, 269.88 and 147.88 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 269.88 = 147.88 : x
  2. Step 2: Convert to fraction form
    180.01/269.88 = 147.88/x
  3. Step 3: Cross multiply
    180.01x = 269.88 × 147.88
  4. Step 4: Simplify right side
    180.01x = 39,909.85
  5. Step 5: Solve for x
    x = 39,909.85/180.01
  6. Step 6: Final answer
    x = 221.71

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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.