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Finding the Fourth Proportional to 545.25, 817.68 and 179.97

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Solution

The fourth proportional to 545.25, 817.68 and 179.97 is: 269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 817.68 = 179.97 : x
  2. Step 2: Convert to fraction form
    545.25/817.68 = 179.97/x
  3. Step 3: Cross multiply
    545.25x = 817.68 × 179.97
  4. Step 4: Simplify right side
    545.25x = 147,157.87
  5. Step 5: Solve for x
    x = 147,157.87/545.25
  6. Step 6: Final answer
    x = 269.89

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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.