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Finding the Fourth Proportional to 213.44, 320 and 97.96

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Solution

The fourth proportional to 213.44, 320 and 97.96 is: 146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 320 = 97.96 : x
  2. Step 2: Convert to fraction form
    213.44/320 = 97.96/x
  3. Step 3: Cross multiply
    213.44x = 320 × 97.96
  4. Step 4: Simplify right side
    213.44x = 31,347.20
  5. Step 5: Solve for x
    x = 31,347.20/213.44
  6. Step 6: Final answer
    x = 146.87

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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.