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Finding the Fourth Proportional to 362.67, 545.22 and 241.17

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Solution

The fourth proportional to 362.67, 545.22 and 241.17 is: 362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.67 : 545.22 = 241.17 : x
  2. Step 2: Convert to fraction form
    362.67/545.22 = 241.17/x
  3. Step 3: Cross multiply
    362.67x = 545.22 × 241.17
  4. Step 4: Simplify right side
    362.67x = 131,490.71
  5. Step 5: Solve for x
    x = 131,490.71/362.67
  6. Step 6: Final answer
    x = 362.56

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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.