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Finding the Fourth Proportional to 545.61, 818.32 and 180.30

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Solution

The fourth proportional to 545.61, 818.32 and 180.30 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.61 : 818.32 = 180.30 : x
  2. Step 2: Convert to fraction form
    545.61/818.32 = 180.30/x
  3. Step 3: Cross multiply
    545.61x = 818.32 × 180.30
  4. Step 4: Simplify right side
    545.61x = 147,543.10
  5. Step 5: Solve for x
    x = 147,543.10/545.61
  6. Step 6: Final answer
    x = 270.42

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1.5x scale

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.