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Finding the Fourth Proportional to 198.84, 298.08 and 70.56

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Solution

The fourth proportional to 198.84, 298.08 and 70.56 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 298.08 = 70.56 : x
  2. Step 2: Convert to fraction form
    198.84/298.08 = 70.56/x
  3. Step 3: Cross multiply
    198.84x = 298.08 × 70.56
  4. Step 4: Simplify right side
    198.84x = 21,032.52
  5. Step 5: Solve for x
    x = 21,032.52/198.84
  6. Step 6: Final answer
    x = 105.78

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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.