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Finding the Fourth Proportional to 207.39, 310.83 and 97.56

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Solution

The fourth proportional to 207.39, 310.83 and 97.56 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.39 : 310.83 = 97.56 : x
  2. Step 2: Convert to fraction form
    207.39/310.83 = 97.56/x
  3. Step 3: Cross multiply
    207.39x = 310.83 × 97.56
  4. Step 4: Simplify right side
    207.39x = 30,324.57
  5. Step 5: Solve for x
    x = 30,324.57/207.39
  6. Step 6: Final answer
    x = 146.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.