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Finding the Fourth Proportional to 217.04, 325.46 and 107.28

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Solution

The fourth proportional to 217.04, 325.46 and 107.28 is: 160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.04 : 325.46 = 107.28 : x
  2. Step 2: Convert to fraction form
    217.04/325.46 = 107.28/x
  3. Step 3: Cross multiply
    217.04x = 325.46 × 107.28
  4. Step 4: Simplify right side
    217.04x = 34,914.81
  5. Step 5: Solve for x
    x = 34,914.81/217.04
  6. Step 6: Final answer
    x = 160.87

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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.