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Finding the Fourth Proportional to 199.32, 298.84 and 138.48

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Solution

The fourth proportional to 199.32, 298.84 and 138.48 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.32 : 298.84 = 138.48 : x
  2. Step 2: Convert to fraction form
    199.32/298.84 = 138.48/x
  3. Step 3: Cross multiply
    199.32x = 298.84 × 138.48
  4. Step 4: Simplify right side
    199.32x = 41,383.36
  5. Step 5: Solve for x
    x = 41,383.36/199.32
  6. Step 6: Final answer
    x = 207.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.