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Finding the Fourth Proportional to 199.30, 298.90 and 69.29

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Solution

The fourth proportional to 199.30, 298.90 and 69.29 is: 103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.30 : 298.90 = 69.29 : x
  2. Step 2: Convert to fraction form
    199.30/298.90 = 69.29/x
  3. Step 3: Cross multiply
    199.30x = 298.90 × 69.29
  4. Step 4: Simplify right side
    199.30x = 20,710.78
  5. Step 5: Solve for x
    x = 20,710.78/199.30
  6. Step 6: Final answer
    x = 103.92

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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.