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Finding the Fourth Proportional to 274.62, 379.05 and 164.10

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Solution

The fourth proportional to 274.62, 379.05 and 164.10 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.62 : 379.05 = 164.10 : x
  2. Step 2: Convert to fraction form
    274.62/379.05 = 164.10/x
  3. Step 3: Cross multiply
    274.62x = 379.05 × 164.10
  4. Step 4: Simplify right side
    274.62x = 62,202.11
  5. Step 5: Solve for x
    x = 62,202.11/274.62
  6. Step 6: Final answer
    x = 226.50

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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.