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Finding the Fourth Proportional to 213.10, 319.69 and 76.11

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Solution

The fourth proportional to 213.10, 319.69 and 76.11 is: 114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 319.69 = 76.11 : x
  2. Step 2: Convert to fraction form
    213.10/319.69 = 76.11/x
  3. Step 3: Cross multiply
    213.10x = 319.69 × 76.11
  4. Step 4: Simplify right side
    213.10x = 24,331.61
  5. Step 5: Solve for x
    x = 24,331.61/213.10
  6. Step 6: Final answer
    x = 114.18

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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.