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Finding the Fourth Proportional to 269.40, 371.64 and 194.70

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Solution

The fourth proportional to 269.40, 371.64 and 194.70 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 371.64 = 194.70 : x
  2. Step 2: Convert to fraction form
    269.40/371.64 = 194.70/x
  3. Step 3: Cross multiply
    269.40x = 371.64 × 194.70
  4. Step 4: Simplify right side
    269.40x = 72,358.31
  5. Step 5: Solve for x
    x = 72,358.31/269.40
  6. Step 6: Final answer
    x = 268.59

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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.