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Finding the Fourth Proportional to 363.84, 545.26 and 180.83

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Solution

The fourth proportional to 363.84, 545.26 and 180.83 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 545.26 = 180.83 : x
  2. Step 2: Convert to fraction form
    363.84/545.26 = 180.83/x
  3. Step 3: Cross multiply
    363.84x = 545.26 × 180.83
  4. Step 4: Simplify right side
    363.84x = 98,595.74
  5. Step 5: Solve for x
    x = 98,595.74/363.84
  6. Step 6: Final answer
    x = 270.99

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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.