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Finding the Fourth Proportional to 147.27, 219.85 and 116.52

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Solution

The fourth proportional to 147.27, 219.85 and 116.52 is: 173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 219.85 = 116.52 : x
  2. Step 2: Convert to fraction form
    147.27/219.85 = 116.52/x
  3. Step 3: Cross multiply
    147.27x = 219.85 × 116.52
  4. Step 4: Simplify right side
    147.27x = 25,616.34
  5. Step 5: Solve for x
    x = 25,616.34/147.27
  6. Step 6: Final answer
    x = 173.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.