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Finding the Fourth Proportional to 545.26, 817.71 and 179.96

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Solution

The fourth proportional to 545.26, 817.71 and 179.96 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.26 : 817.71 = 179.96 : x
  2. Step 2: Convert to fraction form
    545.26/817.71 = 179.96/x
  3. Step 3: Cross multiply
    545.26x = 817.71 × 179.96
  4. Step 4: Simplify right side
    545.26x = 147,155.09
  5. Step 5: Solve for x
    x = 147,155.09/545.26
  6. Step 6: Final answer
    x = 269.88

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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.