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Finding the Fourth Proportional to 211.18, 316.14 and 159.70

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Solution

The fourth proportional to 211.18, 316.14 and 159.70 is: 239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.18 : 316.14 = 159.70 : x
  2. Step 2: Convert to fraction form
    211.18/316.14 = 159.70/x
  3. Step 3: Cross multiply
    211.18x = 316.14 × 159.70
  4. Step 4: Simplify right side
    211.18x = 50,487.56
  5. Step 5: Solve for x
    x = 50,487.56/211.18
  6. Step 6: Final answer
    x = 239.07

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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.