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Finding the Fourth Proportional to 247.52, 370.68 and 199.33

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Solution

The fourth proportional to 247.52, 370.68 and 199.33 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.52 : 370.68 = 199.33 : x
  2. Step 2: Convert to fraction form
    247.52/370.68 = 199.33/x
  3. Step 3: Cross multiply
    247.52x = 370.68 × 199.33
  4. Step 4: Simplify right side
    247.52x = 73,885.97
  5. Step 5: Solve for x
    x = 73,885.97/247.52
  6. Step 6: Final answer
    x = 298.50

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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.