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Finding the Fourth Proportional to 141.40, 214.87 and 141.40

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Solution

The fourth proportional to 141.40, 214.87 and 141.40 is: 214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.40 : 214.87 = 141.40 : x
  2. Step 2: Convert to fraction form
    141.40/214.87 = 141.40/x
  3. Step 3: Cross multiply
    141.40x = 214.87 × 141.40
  4. Step 4: Simplify right side
    141.40x = 30,381.91
  5. Step 5: Solve for x
    x = 30,381.91/141.40
  6. Step 6: Final answer
    x = 214.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.