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Finding the Fourth Proportional to 288.71, 398.40 and 164.39

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Solution

The fourth proportional to 288.71, 398.40 and 164.39 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 398.40 = 164.39 : x
  2. Step 2: Convert to fraction form
    288.71/398.40 = 164.39/x
  3. Step 3: Cross multiply
    288.71x = 398.40 × 164.39
  4. Step 4: Simplify right side
    288.71x = 65,492.98
  5. Step 5: Solve for x
    x = 65,492.98/288.71
  6. Step 6: Final answer
    x = 226.85

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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.