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Finding the Fourth Proportional to 217.32, 299.08 and 182.28

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Solution

The fourth proportional to 217.32, 299.08 and 182.28 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 299.08 = 182.28 : x
  2. Step 2: Convert to fraction form
    217.32/299.08 = 182.28/x
  3. Step 3: Cross multiply
    217.32x = 299.08 × 182.28
  4. Step 4: Simplify right side
    217.32x = 54,516.30
  5. Step 5: Solve for x
    x = 54,516.30/217.32
  6. Step 6: Final answer
    x = 250.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.