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Finding the Fourth Proportional to 545.60, 818.33 and 180.38

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Solution

The fourth proportional to 545.60, 818.33 and 180.38 is: 270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 818.33 = 180.38 : x
  2. Step 2: Convert to fraction form
    545.60/818.33 = 180.38/x
  3. Step 3: Cross multiply
    545.60x = 818.33 × 180.38
  4. Step 4: Simplify right side
    545.60x = 147,611.51
  5. Step 5: Solve for x
    x = 147,611.51/545.60
  6. Step 6: Final answer
    x = 270.55

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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.