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Finding the Fourth Proportional to 454.24, 681.40 and 197.76

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Solution

The fourth proportional to 454.24, 681.40 and 197.76 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 681.40 = 197.76 : x
  2. Step 2: Convert to fraction form
    454.24/681.40 = 197.76/x
  3. Step 3: Cross multiply
    454.24x = 681.40 × 197.76
  4. Step 4: Simplify right side
    454.24x = 134,753.66
  5. Step 5: Solve for x
    x = 134,753.66/454.24
  6. Step 6: Final answer
    x = 296.66

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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.