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Finding the Fourth Proportional to 141.02, 212.56 and 137.91

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Solution

The fourth proportional to 141.02, 212.56 and 137.91 is: 207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.02 : 212.56 = 137.91 : x
  2. Step 2: Convert to fraction form
    141.02/212.56 = 137.91/x
  3. Step 3: Cross multiply
    141.02x = 212.56 × 137.91
  4. Step 4: Simplify right side
    141.02x = 29,314.15
  5. Step 5: Solve for x
    x = 29,314.15/141.02
  6. Step 6: Final answer
    x = 207.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.