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Finding the Fourth Proportional to 217.40, 325.96 and 73.16

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Solution

The fourth proportional to 217.40, 325.96 and 73.16 is: 109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 325.96 = 73.16 : x
  2. Step 2: Convert to fraction form
    217.40/325.96 = 73.16/x
  3. Step 3: Cross multiply
    217.40x = 325.96 × 73.16
  4. Step 4: Simplify right side
    217.40x = 23,847.23
  5. Step 5: Solve for x
    x = 23,847.23/217.40
  6. Step 6: Final answer
    x = 109.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.