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Finding the Fourth Proportional to 274.67, 412.07 and 82.29

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Solution

The fourth proportional to 274.67, 412.07 and 82.29 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.67 : 412.07 = 82.29 : x
  2. Step 2: Convert to fraction form
    274.67/412.07 = 82.29/x
  3. Step 3: Cross multiply
    274.67x = 412.07 × 82.29
  4. Step 4: Simplify right side
    274.67x = 33,909.24
  5. Step 5: Solve for x
    x = 33,909.24/274.67
  6. Step 6: Final answer
    x = 123.45

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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.