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Finding the Fourth Proportional to 209.75, 314.60 and 72.79

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Solution

The fourth proportional to 209.75, 314.60 and 72.79 is: 109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.60 = 72.79 : x
  2. Step 2: Convert to fraction form
    209.75/314.60 = 72.79/x
  3. Step 3: Cross multiply
    209.75x = 314.60 × 72.79
  4. Step 4: Simplify right side
    209.75x = 22,899.13
  5. Step 5: Solve for x
    x = 22,899.13/209.75
  6. Step 6: Final answer
    x = 109.17

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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.