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Finding the Fourth Proportional to 362.26, 542.85 and 199.99

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Solution

The fourth proportional to 362.26, 542.85 and 199.99 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 542.85 = 199.99 : x
  2. Step 2: Convert to fraction form
    362.26/542.85 = 199.99/x
  3. Step 3: Cross multiply
    362.26x = 542.85 × 199.99
  4. Step 4: Simplify right side
    362.26x = 108,564.57
  5. Step 5: Solve for x
    x = 108,564.57/362.26
  6. Step 6: Final answer
    x = 299.69

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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.