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Finding the Fourth Proportional to 207.64, 311.52 and 97.96

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Solution

The fourth proportional to 207.64, 311.52 and 97.96 is: 146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 311.52 = 97.96 : x
  2. Step 2: Convert to fraction form
    207.64/311.52 = 97.96/x
  3. Step 3: Cross multiply
    207.64x = 311.52 × 97.96
  4. Step 4: Simplify right side
    207.64x = 30,516.50
  5. Step 5: Solve for x
    x = 30,516.50/207.64
  6. Step 6: Final answer
    x = 146.97

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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.