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Finding the Fourth Proportional to 198.88, 298.16 and 117.84

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Solution

The fourth proportional to 198.88, 298.16 and 117.84 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 298.16 = 117.84 : x
  2. Step 2: Convert to fraction form
    198.88/298.16 = 117.84/x
  3. Step 3: Cross multiply
    198.88x = 298.16 × 117.84
  4. Step 4: Simplify right side
    198.88x = 35,135.17
  5. Step 5: Solve for x
    x = 35,135.17/198.88
  6. Step 6: Final answer
    x = 176.67

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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.