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Finding the Fourth Proportional to 217.40, 327.67 and 207.64

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Solution

The fourth proportional to 217.40, 327.67 and 207.64 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 327.67 = 207.64 : x
  2. Step 2: Convert to fraction form
    217.40/327.67 = 207.64/x
  3. Step 3: Cross multiply
    217.40x = 327.67 × 207.64
  4. Step 4: Simplify right side
    217.40x = 68,037.40
  5. Step 5: Solve for x
    x = 68,037.40/217.40
  6. Step 6: Final answer
    x = 312.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.