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Finding the Fourth Proportional to 195.49, 292.78 and 104.14

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Solution

The fourth proportional to 195.49, 292.78 and 104.14 is: 155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.49 : 292.78 = 104.14 : x
  2. Step 2: Convert to fraction form
    195.49/292.78 = 104.14/x
  3. Step 3: Cross multiply
    195.49x = 292.78 × 104.14
  4. Step 4: Simplify right side
    195.49x = 30,490.11
  5. Step 5: Solve for x
    x = 30,490.11/195.49
  6. Step 6: Final answer
    x = 155.97

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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.