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Finding the Fourth Proportional to 211.32, 316.97 and 67.04

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Solution

The fourth proportional to 211.32, 316.97 and 67.04 is: 100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 316.97 = 67.04 : x
  2. Step 2: Convert to fraction form
    211.32/316.97 = 67.04/x
  3. Step 3: Cross multiply
    211.32x = 316.97 × 67.04
  4. Step 4: Simplify right side
    211.32x = 21,247.75
  5. Step 5: Solve for x
    x = 21,247.75/211.32
  6. Step 6: Final answer
    x = 100.55

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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.