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Finding the Fourth Proportional to 209.84, 315.24 and 137.84

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Solution

The fourth proportional to 209.84, 315.24 and 137.84 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 315.24 = 137.84 : x
  2. Step 2: Convert to fraction form
    209.84/315.24 = 137.84/x
  3. Step 3: Cross multiply
    209.84x = 315.24 × 137.84
  4. Step 4: Simplify right side
    209.84x = 43,452.68
  5. Step 5: Solve for x
    x = 43,452.68/209.84
  6. Step 6: Final answer
    x = 207.08

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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.