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Finding the Fourth Proportional to 217.13, 325.74 and 72.84

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Solution

The fourth proportional to 217.13, 325.74 and 72.84 is: 109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 325.74 = 72.84 : x
  2. Step 2: Convert to fraction form
    217.13/325.74 = 72.84/x
  3. Step 3: Cross multiply
    217.13x = 325.74 × 72.84
  4. Step 4: Simplify right side
    217.13x = 23,728.12
  5. Step 5: Solve for x
    x = 23,728.12/217.13
  6. Step 6: Final answer
    x = 109.28

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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.