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Finding the Fourth Proportional to 209.64, 314.30 and 191.80

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Solution

The fourth proportional to 209.64, 314.30 and 191.80 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 314.30 = 191.80 : x
  2. Step 2: Convert to fraction form
    209.64/314.30 = 191.80/x
  3. Step 3: Cross multiply
    209.64x = 314.30 × 191.80
  4. Step 4: Simplify right side
    209.64x = 60,282.74
  5. Step 5: Solve for x
    x = 60,282.74/209.64
  6. Step 6: Final answer
    x = 287.55

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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.