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Finding the Fourth Proportional to 213.09, 319.68 and 76.10

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Solution

The fourth proportional to 213.09, 319.68 and 76.10 is: 114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 319.68 = 76.10 : x
  2. Step 2: Convert to fraction form
    213.09/319.68 = 76.10/x
  3. Step 3: Cross multiply
    213.09x = 319.68 × 76.10
  4. Step 4: Simplify right side
    213.09x = 24,327.65
  5. Step 5: Solve for x
    x = 24,327.65/213.09
  6. Step 6: Final answer
    x = 114.17

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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.