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Finding the Fourth Proportional to 209.50, 314.31 and 72.56

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Solution

The fourth proportional to 209.50, 314.31 and 72.56 is: 108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 314.31 = 72.56 : x
  2. Step 2: Convert to fraction form
    209.50/314.31 = 72.56/x
  3. Step 3: Cross multiply
    209.50x = 314.31 × 72.56
  4. Step 4: Simplify right side
    209.50x = 22,807.39
  5. Step 5: Solve for x
    x = 22,807.39/209.50
  6. Step 6: Final answer
    x = 108.86

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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.