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Finding the Fourth Proportional to 209.76, 313.14 and 191.52

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Solution

The fourth proportional to 209.76, 313.14 and 191.52 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 313.14 = 191.52 : x
  2. Step 2: Convert to fraction form
    209.76/313.14 = 191.52/x
  3. Step 3: Cross multiply
    209.76x = 313.14 × 191.52
  4. Step 4: Simplify right side
    209.76x = 59,972.57
  5. Step 5: Solve for x
    x = 59,972.57/209.76
  6. Step 6: Final answer
    x = 285.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.