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Finding the Fourth Proportional to 545.44, 818.23 and 180.25

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Solution

The fourth proportional to 545.44, 818.23 and 180.25 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 818.23 = 180.25 : x
  2. Step 2: Convert to fraction form
    545.44/818.23 = 180.25/x
  3. Step 3: Cross multiply
    545.44x = 818.23 × 180.25
  4. Step 4: Simplify right side
    545.44x = 147,485.96
  5. Step 5: Solve for x
    x = 147,485.96/545.44
  6. Step 6: Final answer
    x = 270.40

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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.