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Finding the Fourth Proportional to 147.38, 220.57 and 144.02

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Solution

The fourth proportional to 147.38, 220.57 and 144.02 is: 215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.38 : 220.57 = 144.02 : x
  2. Step 2: Convert to fraction form
    147.38/220.57 = 144.02/x
  3. Step 3: Cross multiply
    147.38x = 220.57 × 144.02
  4. Step 4: Simplify right side
    147.38x = 31,766.68
  5. Step 5: Solve for x
    x = 31,766.68/147.38
  6. Step 6: Final answer
    x = 215.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.