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Finding the Fourth Proportional to 274.57, 378.59 and 219.13

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Solution

The fourth proportional to 274.57, 378.59 and 219.13 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.57 : 378.59 = 219.13 : x
  2. Step 2: Convert to fraction form
    274.57/378.59 = 219.13/x
  3. Step 3: Cross multiply
    274.57x = 378.59 × 219.13
  4. Step 4: Simplify right side
    274.57x = 82,959.33
  5. Step 5: Solve for x
    x = 82,959.33/274.57
  6. Step 6: Final answer
    x = 302.14

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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.