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Finding the Fourth Proportional to 545.90, 818.94 and 180.77

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Solution

The fourth proportional to 545.90, 818.94 and 180.77 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 818.94 = 180.77 : x
  2. Step 2: Convert to fraction form
    545.90/818.94 = 180.77/x
  3. Step 3: Cross multiply
    545.90x = 818.94 × 180.77
  4. Step 4: Simplify right side
    545.90x = 148,039.78
  5. Step 5: Solve for x
    x = 148,039.78/545.90
  6. Step 6: Final answer
    x = 271.18

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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.