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Finding the Fourth Proportional to 269.42, 370.56 and 219.04

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Solution

The fourth proportional to 269.42, 370.56 and 219.04 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.42 : 370.56 = 219.04 : x
  2. Step 2: Convert to fraction form
    269.42/370.56 = 219.04/x
  3. Step 3: Cross multiply
    269.42x = 370.56 × 219.04
  4. Step 4: Simplify right side
    269.42x = 81,167.46
  5. Step 5: Solve for x
    x = 81,167.46/269.42
  6. Step 6: Final answer
    x = 301.27

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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.