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Finding the Fourth Proportional to 207.16, 286.01 and 128.56

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Solution

The fourth proportional to 207.16, 286.01 and 128.56 is: 177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 286.01 = 128.56 : x
  2. Step 2: Convert to fraction form
    207.16/286.01 = 128.56/x
  3. Step 3: Cross multiply
    207.16x = 286.01 × 128.56
  4. Step 4: Simplify right side
    207.16x = 36,769.05
  5. Step 5: Solve for x
    x = 36,769.05/207.16
  6. Step 6: Final answer
    x = 177.49

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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.