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Finding the Fourth Proportional to 207.62, 287.79 and 204.18

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Solution

The fourth proportional to 207.62, 287.79 and 204.18 is: 283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.62 : 287.79 = 204.18 : x
  2. Step 2: Convert to fraction form
    207.62/287.79 = 204.18/x
  3. Step 3: Cross multiply
    207.62x = 287.79 × 204.18
  4. Step 4: Simplify right side
    207.62x = 58,760.96
  5. Step 5: Solve for x
    x = 58,760.96/207.62
  6. Step 6: Final answer
    x = 283.02

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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.