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Finding the Fourth Proportional to 274.64, 378.68 and 219.33

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Solution

The fourth proportional to 274.64, 378.68 and 219.33 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 378.68 = 219.33 : x
  2. Step 2: Convert to fraction form
    274.64/378.68 = 219.33/x
  3. Step 3: Cross multiply
    274.64x = 378.68 × 219.33
  4. Step 4: Simplify right side
    274.64x = 83,055.88
  5. Step 5: Solve for x
    x = 83,055.88/274.64
  6. Step 6: Final answer
    x = 302.42

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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.