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Finding the Fourth Proportional to 458.97, 688.28 and 166.40

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Solution

The fourth proportional to 458.97, 688.28 and 166.40 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.97 : 688.28 = 166.40 : x
  2. Step 2: Convert to fraction form
    458.97/688.28 = 166.40/x
  3. Step 3: Cross multiply
    458.97x = 688.28 × 166.40
  4. Step 4: Simplify right side
    458.97x = 114,529.79
  5. Step 5: Solve for x
    x = 114,529.79/458.97
  6. Step 6: Final answer
    x = 249.54

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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.