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Finding the Fourth Proportional to 458.53, 687.96 and 166.05

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Solution

The fourth proportional to 458.53, 687.96 and 166.05 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 687.96 = 166.05 : x
  2. Step 2: Convert to fraction form
    458.53/687.96 = 166.05/x
  3. Step 3: Cross multiply
    458.53x = 687.96 × 166.05
  4. Step 4: Simplify right side
    458.53x = 114,235.76
  5. Step 5: Solve for x
    x = 114,235.76/458.53
  6. Step 6: Final answer
    x = 249.14

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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.