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Finding the Fourth Proportional to 362.28, 542.70 and 199.62

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Solution

The fourth proportional to 362.28, 542.70 and 199.62 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 542.70 = 199.62 : x
  2. Step 2: Convert to fraction form
    362.28/542.70 = 199.62/x
  3. Step 3: Cross multiply
    362.28x = 542.70 × 199.62
  4. Step 4: Simplify right side
    362.28x = 108,333.77
  5. Step 5: Solve for x
    x = 108,333.77/362.28
  6. Step 6: Final answer
    x = 299.03

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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.