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Finding the Fourth Proportional to 141.95, 214.14 and 137.70

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Solution

The fourth proportional to 141.95, 214.14 and 137.70 is: 207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.95 : 214.14 = 137.70 : x
  2. Step 2: Convert to fraction form
    141.95/214.14 = 137.70/x
  3. Step 3: Cross multiply
    141.95x = 214.14 × 137.70
  4. Step 4: Simplify right side
    141.95x = 29,487.59
  5. Step 5: Solve for x
    x = 29,487.59/141.95
  6. Step 6: Final answer
    x = 207.73

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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.