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Finding the Fourth Proportional to 288.38, 398.04 and 164.12

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Solution

The fourth proportional to 288.38, 398.04 and 164.12 is: 226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.38 : 398.04 = 164.12 : x
  2. Step 2: Convert to fraction form
    288.38/398.04 = 164.12/x
  3. Step 3: Cross multiply
    288.38x = 398.04 × 164.12
  4. Step 4: Simplify right side
    288.38x = 65,324.33
  5. Step 5: Solve for x
    x = 65,324.33/288.38
  6. Step 6: Final answer
    x = 226.53

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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.