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Finding the Fourth Proportional to 213.05, 319.46 and 76.10

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Solution

The fourth proportional to 213.05, 319.46 and 76.10 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.46 = 76.10 : x
  2. Step 2: Convert to fraction form
    213.05/319.46 = 76.10/x
  3. Step 3: Cross multiply
    213.05x = 319.46 × 76.10
  4. Step 4: Simplify right side
    213.05x = 24,308.93
  5. Step 5: Solve for x
    x = 24,308.93/213.05
  6. Step 6: Final answer
    x = 114.10

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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.