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Finding the Fourth Proportional to 213.76, 320.37 and 116.02

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Solution

The fourth proportional to 213.76, 320.37 and 116.02 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 320.37 = 116.02 : x
  2. Step 2: Convert to fraction form
    213.76/320.37 = 116.02/x
  3. Step 3: Cross multiply
    213.76x = 320.37 × 116.02
  4. Step 4: Simplify right side
    213.76x = 37,169.33
  5. Step 5: Solve for x
    x = 37,169.33/213.76
  6. Step 6: Final answer
    x = 173.88

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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.