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Finding the Fourth Proportional to 274.69, 412.10 and 82.31

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Solution

The fourth proportional to 274.69, 412.10 and 82.31 is: 123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.69 : 412.10 = 82.31 : x
  2. Step 2: Convert to fraction form
    274.69/412.10 = 82.31/x
  3. Step 3: Cross multiply
    274.69x = 412.10 × 82.31
  4. Step 4: Simplify right side
    274.69x = 33,921.19
  5. Step 5: Solve for x
    x = 33,921.19/274.69
  6. Step 6: Final answer
    x = 123.49

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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.