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Finding the Fourth Proportional to 212.97, 319.48 and 76.06

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Solution

The fourth proportional to 212.97, 319.48 and 76.06 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.97 : 319.48 = 76.06 : x
  2. Step 2: Convert to fraction form
    212.97/319.48 = 76.06/x
  3. Step 3: Cross multiply
    212.97x = 319.48 × 76.06
  4. Step 4: Simplify right side
    212.97x = 24,299.65
  5. Step 5: Solve for x
    x = 24,299.65/212.97
  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.