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Finding the Fourth Proportional to 288.56, 398.16 and 164.23

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Solution

The fourth proportional to 288.56, 398.16 and 164.23 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 398.16 = 164.23 : x
  2. Step 2: Convert to fraction form
    288.56/398.16 = 164.23/x
  3. Step 3: Cross multiply
    288.56x = 398.16 × 164.23
  4. Step 4: Simplify right side
    288.56x = 65,388.82
  5. Step 5: Solve for x
    x = 65,388.82/288.56
  6. Step 6: Final answer
    x = 226.60

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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.