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Finding the Fourth Proportional to 274.94, 380.14 and 240.35

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Solution

The fourth proportional to 274.94, 380.14 and 240.35 is: 332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 380.14 = 240.35 : x
  2. Step 2: Convert to fraction form
    274.94/380.14 = 240.35/x
  3. Step 3: Cross multiply
    274.94x = 380.14 × 240.35
  4. Step 4: Simplify right side
    274.94x = 91,366.65
  5. Step 5: Solve for x
    x = 91,366.65/274.94
  6. Step 6: Final answer
    x = 332.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.