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Finding the Fourth Proportional to 363.19, 545.02 and 170.83

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Solution

The fourth proportional to 363.19, 545.02 and 170.83 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.19 : 545.02 = 170.83 : x
  2. Step 2: Convert to fraction form
    363.19/545.02 = 170.83/x
  3. Step 3: Cross multiply
    363.19x = 545.02 × 170.83
  4. Step 4: Simplify right side
    363.19x = 93,104.62
  5. Step 5: Solve for x
    x = 93,104.62/363.19
  6. Step 6: Final answer
    x = 256.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.