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Finding the Fourth Proportional to 454.41, 681.41 and 165.85

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Solution

The fourth proportional to 454.41, 681.41 and 165.85 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 681.41 = 165.85 : x
  2. Step 2: Convert to fraction form
    454.41/681.41 = 165.85/x
  3. Step 3: Cross multiply
    454.41x = 681.41 × 165.85
  4. Step 4: Simplify right side
    454.41x = 113,010.56
  5. Step 5: Solve for x
    x = 113,010.56/454.41
  6. Step 6: Final answer
    x = 248.70

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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.