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Finding the Fourth Proportional to 288.82, 398.54 and 164.48

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Solution

The fourth proportional to 288.82, 398.54 and 164.48 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 398.54 = 164.48 : x
  2. Step 2: Convert to fraction form
    288.82/398.54 = 164.48/x
  3. Step 3: Cross multiply
    288.82x = 398.54 × 164.48
  4. Step 4: Simplify right side
    288.82x = 65,551.59
  5. Step 5: Solve for x
    x = 65,551.59/288.82
  6. Step 6: Final answer
    x = 226.97

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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.