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Finding the Fourth Proportional to 199.20, 298.14 and 117.78

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Solution

The fourth proportional to 199.20, 298.14 and 117.78 is: 176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.20 : 298.14 = 117.78 : x
  2. Step 2: Convert to fraction form
    199.20/298.14 = 117.78/x
  3. Step 3: Cross multiply
    199.20x = 298.14 × 117.78
  4. Step 4: Simplify right side
    199.20x = 35,114.93
  5. Step 5: Solve for x
    x = 35,114.93/199.20
  6. Step 6: Final answer
    x = 176.28

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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.