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Finding the Fourth Proportional to 213.71, 320.90 and 132.91

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Solution

The fourth proportional to 213.71, 320.90 and 132.91 is: 199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 320.90 = 132.91 : x
  2. Step 2: Convert to fraction form
    213.71/320.90 = 132.91/x
  3. Step 3: Cross multiply
    213.71x = 320.90 × 132.91
  4. Step 4: Simplify right side
    213.71x = 42,649.35
  5. Step 5: Solve for x
    x = 42,649.35/213.71
  6. Step 6: Final answer
    x = 199.57

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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.