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Finding the Fourth Proportional to 288.40, 398 and 164.04

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Solution

The fourth proportional to 288.40, 398 and 164.04 is: 226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.40 : 398 = 164.04 : x
  2. Step 2: Convert to fraction form
    288.40/398 = 164.04/x
  3. Step 3: Cross multiply
    288.40x = 398 × 164.04
  4. Step 4: Simplify right side
    288.40x = 65,287.92
  5. Step 5: Solve for x
    x = 65,287.92/288.40
  6. Step 6: Final answer
    x = 226.38

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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.