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Finding the Fourth Proportional to 274.30, 410.41 and 164.22

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Solution

The fourth proportional to 274.30, 410.41 and 164.22 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 410.41 = 164.22 : x
  2. Step 2: Convert to fraction form
    274.30/410.41 = 164.22/x
  3. Step 3: Cross multiply
    274.30x = 410.41 × 164.22
  4. Step 4: Simplify right side
    274.30x = 67,397.53
  5. Step 5: Solve for x
    x = 67,397.53/274.30
  6. Step 6: Final answer
    x = 245.71

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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.