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Finding the Fourth Proportional to 274.77, 412.21 and 82.38

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Solution

The fourth proportional to 274.77, 412.21 and 82.38 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.77 : 412.21 = 82.38 : x
  2. Step 2: Convert to fraction form
    274.77/412.21 = 82.38/x
  3. Step 3: Cross multiply
    274.77x = 412.21 × 82.38
  4. Step 4: Simplify right side
    274.77x = 33,955.59
  5. Step 5: Solve for x
    x = 33,955.59/274.77
  6. Step 6: Final answer
    x = 123.58

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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.