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Finding the Fourth Proportional to 545.76, 818.82 and 180.60

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Solution

The fourth proportional to 545.76, 818.82 and 180.60 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 818.82 = 180.60 : x
  2. Step 2: Convert to fraction form
    545.76/818.82 = 180.60/x
  3. Step 3: Cross multiply
    545.76x = 818.82 × 180.60
  4. Step 4: Simplify right side
    545.76x = 147,878.89
  5. Step 5: Solve for x
    x = 147,878.89/545.76
  6. Step 6: Final answer
    x = 270.96

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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.