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Finding the Fourth Proportional to 362.07, 542.70 and 199.53

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Solution

The fourth proportional to 362.07, 542.70 and 199.53 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.07 : 542.70 = 199.53 : x
  2. Step 2: Convert to fraction form
    362.07/542.70 = 199.53/x
  3. Step 3: Cross multiply
    362.07x = 542.70 × 199.53
  4. Step 4: Simplify right side
    362.07x = 108,284.93
  5. Step 5: Solve for x
    x = 108,284.93/362.07
  6. Step 6: Final answer
    x = 299.07

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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.