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Finding the Fourth Proportional to 356.14, 490.97 and 250.91

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Solution

The fourth proportional to 356.14, 490.97 and 250.91 is: 345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.14 : 490.97 = 250.91 : x
  2. Step 2: Convert to fraction form
    356.14/490.97 = 250.91/x
  3. Step 3: Cross multiply
    356.14x = 490.97 × 250.91
  4. Step 4: Simplify right side
    356.14x = 123,189.28
  5. Step 5: Solve for x
    x = 123,189.28/356.14
  6. Step 6: Final answer
    x = 345.90

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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.