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Finding the Fourth Proportional to 458.16, 687.24 and 169.44

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Solution

The fourth proportional to 458.16, 687.24 and 169.44 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 687.24 = 169.44 : x
  2. Step 2: Convert to fraction form
    458.16/687.24 = 169.44/x
  3. Step 3: Cross multiply
    458.16x = 687.24 × 169.44
  4. Step 4: Simplify right side
    458.16x = 116,445.95
  5. Step 5: Solve for x
    x = 116,445.95/458.16
  6. Step 6: Final answer
    x = 254.16

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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.