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Finding the Fourth Proportional to 274.32, 378.66 and 204.60

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Solution

The fourth proportional to 274.32, 378.66 and 204.60 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 378.66 = 204.60 : x
  2. Step 2: Convert to fraction form
    274.32/378.66 = 204.60/x
  3. Step 3: Cross multiply
    274.32x = 378.66 × 204.60
  4. Step 4: Simplify right side
    274.32x = 77,473.84
  5. Step 5: Solve for x
    x = 77,473.84/274.32
  6. Step 6: Final answer
    x = 282.42

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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.