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Finding the Fourth Proportional to 545.14, 817.66 and 179.97

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Solution

The fourth proportional to 545.14, 817.66 and 179.97 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 817.66 = 179.97 : x
  2. Step 2: Convert to fraction form
    545.14/817.66 = 179.97/x
  3. Step 3: Cross multiply
    545.14x = 817.66 × 179.97
  4. Step 4: Simplify right side
    545.14x = 147,154.27
  5. Step 5: Solve for x
    x = 147,154.27/545.14
  6. Step 6: Final answer
    x = 269.94

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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.