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Finding the Fourth Proportional to 274.54, 411.89 and 82.16

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Solution

The fourth proportional to 274.54, 411.89 and 82.16 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.54 : 411.89 = 82.16 : x
  2. Step 2: Convert to fraction form
    274.54/411.89 = 82.16/x
  3. Step 3: Cross multiply
    274.54x = 411.89 × 82.16
  4. Step 4: Simplify right side
    274.54x = 33,840.47
  5. Step 5: Solve for x
    x = 33,840.47/274.54
  6. Step 6: Final answer
    x = 123.26

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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.