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Finding the Fourth Proportional to 225.49, 310.82 and 206.66

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Solution

The fourth proportional to 225.49, 310.82 and 206.66 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.49 : 310.82 = 206.66 : x
  2. Step 2: Convert to fraction form
    225.49/310.82 = 206.66/x
  3. Step 3: Cross multiply
    225.49x = 310.82 × 206.66
  4. Step 4: Simplify right side
    225.49x = 64,231.47
  5. Step 5: Solve for x
    x = 64,231.47/225.49
  6. Step 6: Final answer
    x = 284.86

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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.