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Finding the Fourth Proportional to 217.08, 299.40 and 167.88

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Solution

The fourth proportional to 217.08, 299.40 and 167.88 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 299.40 = 167.88 : x
  2. Step 2: Convert to fraction form
    217.08/299.40 = 167.88/x
  3. Step 3: Cross multiply
    217.08x = 299.40 × 167.88
  4. Step 4: Simplify right side
    217.08x = 50,263.27
  5. Step 5: Solve for x
    x = 50,263.27/217.08
  6. Step 6: Final answer
    x = 231.54

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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.