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Finding the Fourth Proportional to 458.82, 687.81 and 166.25

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Solution

The fourth proportional to 458.82, 687.81 and 166.25 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 687.81 = 166.25 : x
  2. Step 2: Convert to fraction form
    458.82/687.81 = 166.25/x
  3. Step 3: Cross multiply
    458.82x = 687.81 × 166.25
  4. Step 4: Simplify right side
    458.82x = 114,348.41
  5. Step 5: Solve for x
    x = 114,348.41/458.82
  6. Step 6: Final answer
    x = 249.22

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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.