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Finding the Fourth Proportional to 545.36, 817.92 and 160.48

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Solution

The fourth proportional to 545.36, 817.92 and 160.48 is: 240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.36 : 817.92 = 160.48 : x
  2. Step 2: Convert to fraction form
    545.36/817.92 = 160.48/x
  3. Step 3: Cross multiply
    545.36x = 817.92 × 160.48
  4. Step 4: Simplify right side
    545.36x = 131,259.80
  5. Step 5: Solve for x
    x = 131,259.80/545.36
  6. Step 6: Final answer
    x = 240.68

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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.