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Finding the Fourth Proportional to 362, 543.36 and 199.82

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Solution

The fourth proportional to 362, 543.36 and 199.82 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362 : 543.36 = 199.82 : x
  2. Step 2: Convert to fraction form
    362/543.36 = 199.82/x
  3. Step 3: Cross multiply
    362x = 543.36 × 199.82
  4. Step 4: Simplify right side
    362x = 108,574.20
  5. Step 5: Solve for x
    x = 108,574.20/362
  6. Step 6: Final answer
    x = 299.93

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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.