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Finding the Fourth Proportional to 247.11, 340.48 and 164.08

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Solution

The fourth proportional to 247.11, 340.48 and 164.08 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.11 : 340.48 = 164.08 : x
  2. Step 2: Convert to fraction form
    247.11/340.48 = 164.08/x
  3. Step 3: Cross multiply
    247.11x = 340.48 × 164.08
  4. Step 4: Simplify right side
    247.11x = 55,865.96
  5. Step 5: Solve for x
    x = 55,865.96/247.11
  6. Step 6: Final answer
    x = 226.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.