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Finding the Fourth Proportional to 196.74, 294.96 and 75.11

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Solution

The fourth proportional to 196.74, 294.96 and 75.11 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 294.96 = 75.11 : x
  2. Step 2: Convert to fraction form
    196.74/294.96 = 75.11/x
  3. Step 3: Cross multiply
    196.74x = 294.96 × 75.11
  4. Step 4: Simplify right side
    196.74x = 22,152.97
  5. Step 5: Solve for x
    x = 22,152.97/196.74
  6. Step 6: Final answer
    x = 112.60

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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.