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Finding the Fourth Proportional to 545.65, 818.50 and 180.47

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Solution

The fourth proportional to 545.65, 818.50 and 180.47 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.65 : 818.50 = 180.47 : x
  2. Step 2: Convert to fraction form
    545.65/818.50 = 180.47/x
  3. Step 3: Cross multiply
    545.65x = 818.50 × 180.47
  4. Step 4: Simplify right side
    545.65x = 147,714.70
  5. Step 5: Solve for x
    x = 147,714.70/545.65
  6. Step 6: Final answer
    x = 270.71

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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.