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Finding the Fourth Proportional to 209.31, 313.78 and 140.66

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Solution

The fourth proportional to 209.31, 313.78 and 140.66 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.31 : 313.78 = 140.66 : x
  2. Step 2: Convert to fraction form
    209.31/313.78 = 140.66/x
  3. Step 3: Cross multiply
    209.31x = 313.78 × 140.66
  4. Step 4: Simplify right side
    209.31x = 44,136.29
  5. Step 5: Solve for x
    x = 44,136.29/209.31
  6. Step 6: Final answer
    x = 210.87

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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.