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Finding the Fourth Proportional to 454.53, 681.90 and 165.99

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Solution

The fourth proportional to 454.53, 681.90 and 165.99 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.53 : 681.90 = 165.99 : x
  2. Step 2: Convert to fraction form
    454.53/681.90 = 165.99/x
  3. Step 3: Cross multiply
    454.53x = 681.90 × 165.99
  4. Step 4: Simplify right side
    454.53x = 113,188.58
  5. Step 5: Solve for x
    x = 113,188.58/454.53
  6. Step 6: Final answer
    x = 249.02

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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.