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Finding the Fourth Proportional to 207.16, 286.62 and 202.54

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Solution

The fourth proportional to 207.16, 286.62 and 202.54 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 286.62 = 202.54 : x
  2. Step 2: Convert to fraction form
    207.16/286.62 = 202.54/x
  3. Step 3: Cross multiply
    207.16x = 286.62 × 202.54
  4. Step 4: Simplify right side
    207.16x = 58,052.01
  5. Step 5: Solve for x
    x = 58,052.01/207.16
  6. Step 6: Final answer
    x = 280.23

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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.