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Finding the Fourth Proportional to 217.37, 325.75 and 159.25

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Solution

The fourth proportional to 217.37, 325.75 and 159.25 is: 238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 325.75 = 159.25 : x
  2. Step 2: Convert to fraction form
    217.37/325.75 = 159.25/x
  3. Step 3: Cross multiply
    217.37x = 325.75 × 159.25
  4. Step 4: Simplify right side
    217.37x = 51,875.69
  5. Step 5: Solve for x
    x = 51,875.69/217.37
  6. Step 6: Final answer
    x = 238.65

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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.