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Finding the Fourth Proportional to 207.44, 308.96 and 205.04

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Solution

The fourth proportional to 207.44, 308.96 and 205.04 is: 305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.44 : 308.96 = 205.04 : x
  2. Step 2: Convert to fraction form
    207.44/308.96 = 205.04/x
  3. Step 3: Cross multiply
    207.44x = 308.96 × 205.04
  4. Step 4: Simplify right side
    207.44x = 63,349.16
  5. Step 5: Solve for x
    x = 63,349.16/207.44
  6. Step 6: Final answer
    x = 305.39

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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.