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Finding the Fourth Proportional to 217.16, 325.80 and 80.25

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Solution

The fourth proportional to 217.16, 325.80 and 80.25 is: 120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.16 : 325.80 = 80.25 : x
  2. Step 2: Convert to fraction form
    217.16/325.80 = 80.25/x
  3. Step 3: Cross multiply
    217.16x = 325.80 × 80.25
  4. Step 4: Simplify right side
    217.16x = 26,145.45
  5. Step 5: Solve for x
    x = 26,145.45/217.16
  6. Step 6: Final answer
    x = 120.40

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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.