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Finding the Fourth Proportional to 211.62, 316.89 and 103.13

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Solution

The fourth proportional to 211.62, 316.89 and 103.13 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 316.89 = 103.13 : x
  2. Step 2: Convert to fraction form
    211.62/316.89 = 103.13/x
  3. Step 3: Cross multiply
    211.62x = 316.89 × 103.13
  4. Step 4: Simplify right side
    211.62x = 32,679.28
  5. Step 5: Solve for x
    x = 32,679.28/211.62
  6. Step 6: Final answer
    x = 154.42

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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.