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Finding the Fourth Proportional to 247.01, 341.03 and 164.19

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Solution

The fourth proportional to 247.01, 341.03 and 164.19 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.01 : 341.03 = 164.19 : x
  2. Step 2: Convert to fraction form
    247.01/341.03 = 164.19/x
  3. Step 3: Cross multiply
    247.01x = 341.03 × 164.19
  4. Step 4: Simplify right side
    247.01x = 55,992.89
  5. Step 5: Solve for x
    x = 55,992.89/247.01
  6. Step 6: Final answer
    x = 226.68

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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.