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Finding the Fourth Proportional to 247.20, 341.01 and 164.31

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Solution

The fourth proportional to 247.20, 341.01 and 164.31 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.20 : 341.01 = 164.31 : x
  2. Step 2: Convert to fraction form
    247.20/341.01 = 164.31/x
  3. Step 3: Cross multiply
    247.20x = 341.01 × 164.31
  4. Step 4: Simplify right side
    247.20x = 56,031.35
  5. Step 5: Solve for x
    x = 56,031.35/247.20
  6. Step 6: Final answer
    x = 226.66

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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.