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Finding the Fourth Proportional to 147.90, 205.14 and 142.71

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Solution

The fourth proportional to 147.90, 205.14 and 142.71 is: 197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.90 : 205.14 = 142.71 : x
  2. Step 2: Convert to fraction form
    147.90/205.14 = 142.71/x
  3. Step 3: Cross multiply
    147.90x = 205.14 × 142.71
  4. Step 4: Simplify right side
    147.90x = 29,275.53
  5. Step 5: Solve for x
    x = 29,275.53/147.90
  6. Step 6: Final answer
    x = 197.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.