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Finding the Fourth Proportional to 274.91, 379.46 and 187.63

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Solution

The fourth proportional to 274.91, 379.46 and 187.63 is: 258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.91 : 379.46 = 187.63 : x
  2. Step 2: Convert to fraction form
    274.91/379.46 = 187.63/x
  3. Step 3: Cross multiply
    274.91x = 379.46 × 187.63
  4. Step 4: Simplify right side
    274.91x = 71,197.60
  5. Step 5: Solve for x
    x = 71,197.60/274.91
  6. Step 6: Final answer
    x = 258.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.