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Finding the Fourth Proportional to 545.45, 818.00 and 180.16

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Solution

The fourth proportional to 545.45, 818.00 and 180.16 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.45 : 818.00 = 180.16 : x
  2. Step 2: Convert to fraction form
    545.45/818.00 = 180.16/x
  3. Step 3: Cross multiply
    545.45x = 818.00 × 180.16
  4. Step 4: Simplify right side
    545.45x = 147,367.93
  5. Step 5: Solve for x
    x = 147,367.93/545.45
  6. Step 6: Final answer
    x = 270.18

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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.