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Finding the Fourth Proportional to 194.78, 291.92 and 103.28

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Solution

The fourth proportional to 194.78, 291.92 and 103.28 is: 154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 291.92 = 103.28 : x
  2. Step 2: Convert to fraction form
    194.78/291.92 = 103.28/x
  3. Step 3: Cross multiply
    194.78x = 291.92 × 103.28
  4. Step 4: Simplify right side
    194.78x = 30,149.71
  5. Step 5: Solve for x
    x = 30,149.71/194.78
  6. Step 6: Final answer
    x = 154.79

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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.