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Finding the Fourth Proportional to 274.53, 378.83 and 150.18

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Solution

The fourth proportional to 274.53, 378.83 and 150.18 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.53 : 378.83 = 150.18 : x
  2. Step 2: Convert to fraction form
    274.53/378.83 = 150.18/x
  3. Step 3: Cross multiply
    274.53x = 378.83 × 150.18
  4. Step 4: Simplify right side
    274.53x = 56,891.94
  5. Step 5: Solve for x
    x = 56,891.94/274.53
  6. Step 6: Final answer
    x = 207.23

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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.