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Finding the Fourth Proportional to 545.43, 818.26 and 180.19

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Solution

The fourth proportional to 545.43, 818.26 and 180.19 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.43 : 818.26 = 180.19 : x
  2. Step 2: Convert to fraction form
    545.43/818.26 = 180.19/x
  3. Step 3: Cross multiply
    545.43x = 818.26 × 180.19
  4. Step 4: Simplify right side
    545.43x = 147,442.27
  5. Step 5: Solve for x
    x = 147,442.27/545.43
  6. Step 6: Final answer
    x = 270.32

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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.