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Finding the Fourth Proportional to 274.66, 412.25 and 186.80

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Solution

The fourth proportional to 274.66, 412.25 and 186.80 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.66 : 412.25 = 186.80 : x
  2. Step 2: Convert to fraction form
    274.66/412.25 = 186.80/x
  3. Step 3: Cross multiply
    274.66x = 412.25 × 186.80
  4. Step 4: Simplify right side
    274.66x = 77,005.30
  5. Step 5: Solve for x
    x = 77,005.30/274.66
  6. Step 6: Final answer
    x = 280.37

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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.