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Finding the Fourth Proportional to 274.06, 411.10 and 109.56

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Solution

The fourth proportional to 274.06, 411.10 and 109.56 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 411.10 = 109.56 : x
  2. Step 2: Convert to fraction form
    274.06/411.10 = 109.56/x
  3. Step 3: Cross multiply
    274.06x = 411.10 × 109.56
  4. Step 4: Simplify right side
    274.06x = 45,040.12
  5. Step 5: Solve for x
    x = 45,040.12/274.06
  6. Step 6: Final answer
    x = 164.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.