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Finding the Fourth Proportional to 269.93, 371.99 and 192.17

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Solution

The fourth proportional to 269.93, 371.99 and 192.17 is: 264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.93 : 371.99 = 192.17 : x
  2. Step 2: Convert to fraction form
    269.93/371.99 = 192.17/x
  3. Step 3: Cross multiply
    269.93x = 371.99 × 192.17
  4. Step 4: Simplify right side
    269.93x = 71,484.36
  5. Step 5: Solve for x
    x = 71,484.36/269.93
  6. Step 6: Final answer
    x = 264.83

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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.