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Finding the Fourth Proportional to 209.66, 287.62 and 207.43

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Solution

The fourth proportional to 209.66, 287.62 and 207.43 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.66 : 287.62 = 207.43 : x
  2. Step 2: Convert to fraction form
    209.66/287.62 = 207.43/x
  3. Step 3: Cross multiply
    209.66x = 287.62 × 207.43
  4. Step 4: Simplify right side
    209.66x = 59,659.78
  5. Step 5: Solve for x
    x = 59,659.78/209.66
  6. Step 6: Final answer
    x = 284.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.