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Finding the Fourth Proportional to 211.98, 317.97 and 67.71

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Solution

The fourth proportional to 211.98, 317.97 and 67.71 is: 101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.98 : 317.97 = 67.71 : x
  2. Step 2: Convert to fraction form
    211.98/317.97 = 67.71/x
  3. Step 3: Cross multiply
    211.98x = 317.97 × 67.71
  4. Step 4: Simplify right side
    211.98x = 21,529.75
  5. Step 5: Solve for x
    x = 21,529.75/211.98
  6. Step 6: Final answer
    x = 101.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.