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Finding the Fourth Proportional to 207.60, 308.94 and 205.44

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Solution

The fourth proportional to 207.60, 308.94 and 205.44 is: 305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 308.94 = 205.44 : x
  2. Step 2: Convert to fraction form
    207.60/308.94 = 205.44/x
  3. Step 3: Cross multiply
    207.60x = 308.94 × 205.44
  4. Step 4: Simplify right side
    207.60x = 63,468.63
  5. Step 5: Solve for x
    x = 63,468.63/207.60
  6. Step 6: Final answer
    x = 305.73

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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.