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Finding the Fourth Proportional to 363.39, 545.08 and 170.97

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Solution

The fourth proportional to 363.39, 545.08 and 170.97 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.39 : 545.08 = 170.97 : x
  2. Step 2: Convert to fraction form
    363.39/545.08 = 170.97/x
  3. Step 3: Cross multiply
    363.39x = 545.08 × 170.97
  4. Step 4: Simplify right side
    363.39x = 93,189.60
  5. Step 5: Solve for x
    x = 93,189.60/363.39
  6. Step 6: Final answer
    x = 256.45

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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.