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Finding the Fourth Proportional to 211.29, 316.89 and 67.05

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Solution

The fourth proportional to 211.29, 316.89 and 67.05 is: 100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 316.89 = 67.05 : x
  2. Step 2: Convert to fraction form
    211.29/316.89 = 67.05/x
  3. Step 3: Cross multiply
    211.29x = 316.89 × 67.05
  4. Step 4: Simplify right side
    211.29x = 21,247.47
  5. Step 5: Solve for x
    x = 21,247.47/211.29
  6. Step 6: Final answer
    x = 100.56

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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.