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Finding the Fourth Proportional to 362.30, 542.53 and 199.80

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Solution

The fourth proportional to 362.30, 542.53 and 199.80 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.30 : 542.53 = 199.80 : x
  2. Step 2: Convert to fraction form
    362.30/542.53 = 199.80/x
  3. Step 3: Cross multiply
    362.30x = 542.53 × 199.80
  4. Step 4: Simplify right side
    362.30x = 108,397.49
  5. Step 5: Solve for x
    x = 108,397.49/362.30
  6. Step 6: Final answer
    x = 299.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.