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Finding the Fourth Proportional to 213.46, 320.25 and 97.94

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Solution

The fourth proportional to 213.46, 320.25 and 97.94 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 320.25 = 97.94 : x
  2. Step 2: Convert to fraction form
    213.46/320.25 = 97.94/x
  3. Step 3: Cross multiply
    213.46x = 320.25 × 97.94
  4. Step 4: Simplify right side
    213.46x = 31,365.29
  5. Step 5: Solve for x
    x = 31,365.29/213.46
  6. Step 6: Final answer
    x = 146.94

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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.