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Finding the Fourth Proportional to 213.17, 319.46 and 97.65

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Solution

The fourth proportional to 213.17, 319.46 and 97.65 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 319.46 = 97.65 : x
  2. Step 2: Convert to fraction form
    213.17/319.46 = 97.65/x
  3. Step 3: Cross multiply
    213.17x = 319.46 × 97.65
  4. Step 4: Simplify right side
    213.17x = 31,194.78
  5. Step 5: Solve for x
    x = 31,194.78/213.17
  6. Step 6: Final answer
    x = 146.34

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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.