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Finding the Fourth Proportional to 213.71, 320.25 and 116.12

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Solution

The fourth proportional to 213.71, 320.25 and 116.12 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 320.25 = 116.12 : x
  2. Step 2: Convert to fraction form
    213.71/320.25 = 116.12/x
  3. Step 3: Cross multiply
    213.71x = 320.25 × 116.12
  4. Step 4: Simplify right side
    213.71x = 37,187.94
  5. Step 5: Solve for x
    x = 37,187.94/213.71
  6. Step 6: Final answer
    x = 174.02

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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.