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Finding the Fourth Proportional to 454.27, 681.50 and 141.91

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Solution

The fourth proportional to 454.27, 681.50 and 141.91 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.27 : 681.50 = 141.91 : x
  2. Step 2: Convert to fraction form
    454.27/681.50 = 141.91/x
  3. Step 3: Cross multiply
    454.27x = 681.50 × 141.91
  4. Step 4: Simplify right side
    454.27x = 96,713.72
  5. Step 5: Solve for x
    x = 96,713.72/454.27
  6. Step 6: Final answer
    x = 212.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.