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Finding the Fourth Proportional to 247.31, 341.33 and 164.42

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Solution

The fourth proportional to 247.31, 341.33 and 164.42 is: 226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.31 : 341.33 = 164.42 : x
  2. Step 2: Convert to fraction form
    247.31/341.33 = 164.42/x
  3. Step 3: Cross multiply
    247.31x = 341.33 × 164.42
  4. Step 4: Simplify right side
    247.31x = 56,118.95
  5. Step 5: Solve for x
    x = 56,118.95/247.31
  6. Step 6: Final answer
    x = 226.92

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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.