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Finding the Fourth Proportional to 209.05, 287.39 and 207.72

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Solution

The fourth proportional to 209.05, 287.39 and 207.72 is: 285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 287.39 = 207.72 : x
  2. Step 2: Convert to fraction form
    209.05/287.39 = 207.72/x
  3. Step 3: Cross multiply
    209.05x = 287.39 × 207.72
  4. Step 4: Simplify right side
    209.05x = 59,697.17
  5. Step 5: Solve for x
    x = 59,697.17/209.05
  6. Step 6: Final answer
    x = 285.57

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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.