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Finding the Fourth Proportional to 274.12, 410.78 and 164.48

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Solution

The fourth proportional to 274.12, 410.78 and 164.48 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 410.78 = 164.48 : x
  2. Step 2: Convert to fraction form
    274.12/410.78 = 164.48/x
  3. Step 3: Cross multiply
    274.12x = 410.78 × 164.48
  4. Step 4: Simplify right side
    274.12x = 67,563.45
  5. Step 5: Solve for x
    x = 67,563.45/274.12
  6. Step 6: Final answer
    x = 246.48

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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.