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Finding the Fourth Proportional to 288.68, 398.42 and 164.39

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Solution

The fourth proportional to 288.68, 398.42 and 164.39 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 398.42 = 164.39 : x
  2. Step 2: Convert to fraction form
    288.68/398.42 = 164.39/x
  3. Step 3: Cross multiply
    288.68x = 398.42 × 164.39
  4. Step 4: Simplify right side
    288.68x = 65,496.26
  5. Step 5: Solve for x
    x = 65,496.26/288.68
  6. Step 6: Final answer
    x = 226.88

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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.