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Finding the Fourth Proportional to 194.95, 269.02 and 129.57

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Solution

The fourth proportional to 194.95, 269.02 and 129.57 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.95 : 269.02 = 129.57 : x
  2. Step 2: Convert to fraction form
    194.95/269.02 = 129.57/x
  3. Step 3: Cross multiply
    194.95x = 269.02 × 129.57
  4. Step 4: Simplify right side
    194.95x = 34,856.92
  5. Step 5: Solve for x
    x = 34,856.92/194.95
  6. Step 6: Final answer
    x = 178.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.