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Finding the Fourth Proportional to 458.46, 687.66 and 165.96

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Solution

The fourth proportional to 458.46, 687.66 and 165.96 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 687.66 = 165.96 : x
  2. Step 2: Convert to fraction form
    458.46/687.66 = 165.96/x
  3. Step 3: Cross multiply
    458.46x = 687.66 × 165.96
  4. Step 4: Simplify right side
    458.46x = 114,124.05
  5. Step 5: Solve for x
    x = 114,124.05/458.46
  6. Step 6: Final answer
    x = 248.93

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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.