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Finding the Fourth Proportional to 274.50, 411.75 and 82.13

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Solution

The fourth proportional to 274.50, 411.75 and 82.13 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 411.75 = 82.13 : x
  2. Step 2: Convert to fraction form
    274.50/411.75 = 82.13/x
  3. Step 3: Cross multiply
    274.50x = 411.75 × 82.13
  4. Step 4: Simplify right side
    274.50x = 33,814.97
  5. Step 5: Solve for x
    x = 33,814.97/274.50
  6. Step 6: Final answer
    x = 123.19

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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.