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Finding the Fourth Proportional to 274.30, 379.03 and 204.64

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Solution

The fourth proportional to 274.30, 379.03 and 204.64 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 379.03 = 204.64 : x
  2. Step 2: Convert to fraction form
    274.30/379.03 = 204.64/x
  3. Step 3: Cross multiply
    274.30x = 379.03 × 204.64
  4. Step 4: Simplify right side
    274.30x = 77,564.70
  5. Step 5: Solve for x
    x = 77,564.70/274.30
  6. Step 6: Final answer
    x = 282.77

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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.