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Finding the Fourth Proportional to 269.65, 371.71 and 222.94

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Solution

The fourth proportional to 269.65, 371.71 and 222.94 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.65 : 371.71 = 222.94 : x
  2. Step 2: Convert to fraction form
    269.65/371.71 = 222.94/x
  3. Step 3: Cross multiply
    269.65x = 371.71 × 222.94
  4. Step 4: Simplify right side
    269.65x = 82,869.03
  5. Step 5: Solve for x
    x = 82,869.03/269.65
  6. Step 6: Final answer
    x = 307.32

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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.