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Finding the Fourth Proportional to 209.29, 313.73 and 72.24

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Solution

The fourth proportional to 209.29, 313.73 and 72.24 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.29 : 313.73 = 72.24 : x
  2. Step 2: Convert to fraction form
    209.29/313.73 = 72.24/x
  3. Step 3: Cross multiply
    209.29x = 313.73 × 72.24
  4. Step 4: Simplify right side
    209.29x = 22,663.86
  5. Step 5: Solve for x
    x = 22,663.86/209.29
  6. Step 6: Final answer
    x = 108.29

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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.