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Finding the Fourth Proportional to 274.88, 380.09 and 261.96

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Solution

The fourth proportional to 274.88, 380.09 and 261.96 is: 362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 380.09 = 261.96 : x
  2. Step 2: Convert to fraction form
    274.88/380.09 = 261.96/x
  3. Step 3: Cross multiply
    274.88x = 380.09 × 261.96
  4. Step 4: Simplify right side
    274.88x = 99,567.07
  5. Step 5: Solve for x
    x = 99,567.07/274.88
  6. Step 6: Final answer
    x = 362.23

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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.