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Finding the Fourth Proportional to 289, 398.84 and 164.68

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Solution

The fourth proportional to 289, 398.84 and 164.68 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 398.84 = 164.68 : x
  2. Step 2: Convert to fraction form
    289/398.84 = 164.68/x
  3. Step 3: Cross multiply
    289x = 398.84 × 164.68
  4. Step 4: Simplify right side
    289x = 65,680.97
  5. Step 5: Solve for x
    x = 65,680.97/289
  6. Step 6: Final answer
    x = 227.27

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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.