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Finding the Fourth Proportional to 274.49, 409.86 and 222.54

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Solution

The fourth proportional to 274.49, 409.86 and 222.54 is: 332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 409.86 = 222.54 : x
  2. Step 2: Convert to fraction form
    274.49/409.86 = 222.54/x
  3. Step 3: Cross multiply
    274.49x = 409.86 × 222.54
  4. Step 4: Simplify right side
    274.49x = 91,210.24
  5. Step 5: Solve for x
    x = 91,210.24/274.49
  6. Step 6: Final answer
    x = 332.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.