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Finding the Fourth Proportional to 289.14, 398.92 and 164.76

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Solution

The fourth proportional to 289.14, 398.92 and 164.76 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 398.92 = 164.76 : x
  2. Step 2: Convert to fraction form
    289.14/398.92 = 164.76/x
  3. Step 3: Cross multiply
    289.14x = 398.92 × 164.76
  4. Step 4: Simplify right side
    289.14x = 65,726.06
  5. Step 5: Solve for x
    x = 65,726.06/289.14
  6. Step 6: Final answer
    x = 227.32

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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.