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Finding the Fourth Proportional to 288.42, 398.05 and 164.09

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Solution

The fourth proportional to 288.42, 398.05 and 164.09 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 398.05 = 164.09 : x
  2. Step 2: Convert to fraction form
    288.42/398.05 = 164.09/x
  3. Step 3: Cross multiply
    288.42x = 398.05 × 164.09
  4. Step 4: Simplify right side
    288.42x = 65,315.12
  5. Step 5: Solve for x
    x = 65,315.12/288.42
  6. Step 6: Final answer
    x = 226.46

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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.