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Finding the Fourth Proportional to 141.99, 196.17 and 140.91

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Solution

The fourth proportional to 141.99, 196.17 and 140.91 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.99 : 196.17 = 140.91 : x
  2. Step 2: Convert to fraction form
    141.99/196.17 = 140.91/x
  3. Step 3: Cross multiply
    141.99x = 196.17 × 140.91
  4. Step 4: Simplify right side
    141.99x = 27,642.31
  5. Step 5: Solve for x
    x = 27,642.31/141.99
  6. Step 6: Final answer
    x = 194.68

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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.