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Finding the Fourth Proportional to 147.27, 203.14 and 122.49

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Solution

The fourth proportional to 147.27, 203.14 and 122.49 is: 168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 203.14 = 122.49 : x
  2. Step 2: Convert to fraction form
    147.27/203.14 = 122.49/x
  3. Step 3: Cross multiply
    147.27x = 203.14 × 122.49
  4. Step 4: Simplify right side
    147.27x = 24,882.62
  5. Step 5: Solve for x
    x = 24,882.62/147.27
  6. Step 6: Final answer
    x = 168.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.