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Finding the Fourth Proportional to 269.82, 370.56 and 226.08

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Solution

The fourth proportional to 269.82, 370.56 and 226.08 is: 310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 370.56 = 226.08 : x
  2. Step 2: Convert to fraction form
    269.82/370.56 = 226.08/x
  3. Step 3: Cross multiply
    269.82x = 370.56 × 226.08
  4. Step 4: Simplify right side
    269.82x = 83,776.20
  5. Step 5: Solve for x
    x = 83,776.20/269.82
  6. Step 6: Final answer
    x = 310.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.