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Finding the Fourth Proportional to 213.50, 320.25 and 132.09

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Solution

The fourth proportional to 213.50, 320.25 and 132.09 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 320.25 = 132.09 : x
  2. Step 2: Convert to fraction form
    213.50/320.25 = 132.09/x
  3. Step 3: Cross multiply
    213.50x = 320.25 × 132.09
  4. Step 4: Simplify right side
    213.50x = 42,301.82
  5. Step 5: Solve for x
    x = 42,301.82/213.50
  6. Step 6: Final answer
    x = 198.14

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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.