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Finding the Fourth Proportional to 226.80, 314.55 and 205.20

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Solution

The fourth proportional to 226.80, 314.55 and 205.20 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 314.55 = 205.20 : x
  2. Step 2: Convert to fraction form
    226.80/314.55 = 205.20/x
  3. Step 3: Cross multiply
    226.80x = 314.55 × 205.20
  4. Step 4: Simplify right side
    226.80x = 64,545.66
  5. Step 5: Solve for x
    x = 64,545.66/226.80
  6. Step 6: Final answer
    x = 284.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.