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Finding the Fourth Proportional to 209.24, 313.76 and 72.24

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Solution

The fourth proportional to 209.24, 313.76 and 72.24 is: 108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 313.76 = 72.24 : x
  2. Step 2: Convert to fraction form
    209.24/313.76 = 72.24/x
  3. Step 3: Cross multiply
    209.24x = 313.76 × 72.24
  4. Step 4: Simplify right side
    209.24x = 22,666.02
  5. Step 5: Solve for x
    x = 22,666.02/209.24
  6. Step 6: Final answer
    x = 108.33

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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.