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Finding the Fourth Proportional to 213.82, 320.10 and 132.40

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Solution

The fourth proportional to 213.82, 320.10 and 132.40 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 320.10 = 132.40 : x
  2. Step 2: Convert to fraction form
    213.82/320.10 = 132.40/x
  3. Step 3: Cross multiply
    213.82x = 320.10 × 132.40
  4. Step 4: Simplify right side
    213.82x = 42,381.24
  5. Step 5: Solve for x
    x = 42,381.24/213.82
  6. Step 6: Final answer
    x = 198.21

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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.