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Finding the Fourth Proportional to 274.58, 378.91 and 169.69

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Solution

The fourth proportional to 274.58, 378.91 and 169.69 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.58 : 378.91 = 169.69 : x
  2. Step 2: Convert to fraction form
    274.58/378.91 = 169.69/x
  3. Step 3: Cross multiply
    274.58x = 378.91 × 169.69
  4. Step 4: Simplify right side
    274.58x = 64,297.24
  5. Step 5: Solve for x
    x = 64,297.24/274.58
  6. Step 6: Final answer
    x = 234.17

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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.