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Finding the Fourth Proportional to 180.27, 270.60 and 99.18

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Solution

The fourth proportional to 180.27, 270.60 and 99.18 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.27 : 270.60 = 99.18 : x
  2. Step 2: Convert to fraction form
    180.27/270.60 = 99.18/x
  3. Step 3: Cross multiply
    180.27x = 270.60 × 99.18
  4. Step 4: Simplify right side
    180.27x = 26,838.11
  5. Step 5: Solve for x
    x = 26,838.11/180.27
  6. Step 6: Final answer
    x = 148.88

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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.