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Finding the Fourth Proportional to 274.92, 412.38 and 82.50

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Solution

The fourth proportional to 274.92, 412.38 and 82.50 is: 123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 412.38 = 82.50 : x
  2. Step 2: Convert to fraction form
    274.92/412.38 = 82.50/x
  3. Step 3: Cross multiply
    274.92x = 412.38 × 82.50
  4. Step 4: Simplify right side
    274.92x = 34,021.35
  5. Step 5: Solve for x
    x = 34,021.35/274.92
  6. Step 6: Final answer
    x = 123.75

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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.