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Finding the Fourth Proportional to 269.46, 371.43 and 214.11

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Solution

The fourth proportional to 269.46, 371.43 and 214.11 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.46 : 371.43 = 214.11 : x
  2. Step 2: Convert to fraction form
    269.46/371.43 = 214.11/x
  3. Step 3: Cross multiply
    269.46x = 371.43 × 214.11
  4. Step 4: Simplify right side
    269.46x = 79,526.88
  5. Step 5: Solve for x
    x = 79,526.88/269.46
  6. Step 6: Final answer
    x = 295.13

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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.