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Finding the Fourth Proportional to 207.22, 308.83 and 205.52

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Solution

The fourth proportional to 207.22, 308.83 and 205.52 is: 306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.22 : 308.83 = 205.52 : x
  2. Step 2: Convert to fraction form
    207.22/308.83 = 205.52/x
  3. Step 3: Cross multiply
    207.22x = 308.83 × 205.52
  4. Step 4: Simplify right side
    207.22x = 63,470.74
  5. Step 5: Solve for x
    x = 63,470.74/207.22
  6. Step 6: Final answer
    x = 306.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.