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Finding the Fourth Proportional to 362.49, 542.93 and 199.82

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Solution

The fourth proportional to 362.49, 542.93 and 199.82 is: 299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.49 : 542.93 = 199.82 : x
  2. Step 2: Convert to fraction form
    362.49/542.93 = 199.82/x
  3. Step 3: Cross multiply
    362.49x = 542.93 × 199.82
  4. Step 4: Simplify right side
    362.49x = 108,484.56
  5. Step 5: Solve for x
    x = 108,484.56/362.49
  6. Step 6: Final answer
    x = 299.28

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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.