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Finding the Fourth Proportional to 545.44, 818.10 and 180.30

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Solution

The fourth proportional to 545.44, 818.10 and 180.30 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 818.10 = 180.30 : x
  2. Step 2: Convert to fraction form
    545.44/818.10 = 180.30/x
  3. Step 3: Cross multiply
    545.44x = 818.10 × 180.30
  4. Step 4: Simplify right side
    545.44x = 147,503.43
  5. Step 5: Solve for x
    x = 147,503.43/545.44
  6. Step 6: Final answer
    x = 270.43

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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.