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Finding the Fourth Proportional to 459.38, 688.62 and 166.70

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Solution

The fourth proportional to 459.38, 688.62 and 166.70 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 688.62 = 166.70 : x
  2. Step 2: Convert to fraction form
    459.38/688.62 = 166.70/x
  3. Step 3: Cross multiply
    459.38x = 688.62 × 166.70
  4. Step 4: Simplify right side
    459.38x = 114,792.95
  5. Step 5: Solve for x
    x = 114,792.95/459.38
  6. Step 6: Final answer
    x = 249.89

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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.