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Finding the Fourth Proportional to 274.91, 412.34 and 92.30

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Solution

The fourth proportional to 274.91, 412.34 and 92.30 is: 138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.91 : 412.34 = 92.30 : x
  2. Step 2: Convert to fraction form
    274.91/412.34 = 92.30/x
  3. Step 3: Cross multiply
    274.91x = 412.34 × 92.30
  4. Step 4: Simplify right side
    274.91x = 38,056.46
  5. Step 5: Solve for x
    x = 38,056.46/274.91
  6. Step 6: Final answer
    x = 138.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.