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Finding the Fourth Proportional to 209.62, 312.19 and 207.19

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Solution

The fourth proportional to 209.62, 312.19 and 207.19 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 312.19 = 207.19 : x
  2. Step 2: Convert to fraction form
    209.62/312.19 = 207.19/x
  3. Step 3: Cross multiply
    209.62x = 312.19 × 207.19
  4. Step 4: Simplify right side
    209.62x = 64,681.09
  5. Step 5: Solve for x
    x = 64,681.09/209.62
  6. Step 6: Final answer
    x = 308.57

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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.