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Finding the Fourth Proportional to 196.25, 294.14 and 119.16

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Solution

The fourth proportional to 196.25, 294.14 and 119.16 is: 178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 294.14 = 119.16 : x
  2. Step 2: Convert to fraction form
    196.25/294.14 = 119.16/x
  3. Step 3: Cross multiply
    196.25x = 294.14 × 119.16
  4. Step 4: Simplify right side
    196.25x = 35,049.13
  5. Step 5: Solve for x
    x = 35,049.13/196.25
  6. Step 6: Final answer
    x = 178.60

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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.