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Finding the Fourth Proportional to 545.92, 818.82 and 155.95

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Solution

The fourth proportional to 545.92, 818.82 and 155.95 is: 233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.92 : 818.82 = 155.95 : x
  2. Step 2: Convert to fraction form
    545.92/818.82 = 155.95/x
  3. Step 3: Cross multiply
    545.92x = 818.82 × 155.95
  4. Step 4: Simplify right side
    545.92x = 127,694.98
  5. Step 5: Solve for x
    x = 127,694.98/545.92
  6. Step 6: Final answer
    x = 233.91

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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.