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Finding the Fourth Proportional to 209.30, 313.98 and 72.31

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Solution

The fourth proportional to 209.30, 313.98 and 72.31 is: 108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 313.98 = 72.31 : x
  2. Step 2: Convert to fraction form
    209.30/313.98 = 72.31/x
  3. Step 3: Cross multiply
    209.30x = 313.98 × 72.31
  4. Step 4: Simplify right side
    209.30x = 22,703.89
  5. Step 5: Solve for x
    x = 22,703.89/209.30
  6. Step 6: Final answer
    x = 108.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.