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Finding the Fourth Proportional to 355.13, 490.14 and 199.88

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Solution

The fourth proportional to 355.13, 490.14 and 199.88 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.13 : 490.14 = 199.88 : x
  2. Step 2: Convert to fraction form
    355.13/490.14 = 199.88/x
  3. Step 3: Cross multiply
    355.13x = 490.14 × 199.88
  4. Step 4: Simplify right side
    355.13x = 97,966.73
  5. Step 5: Solve for x
    x = 97,966.73/355.13
  6. Step 6: Final answer
    x = 275.87

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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.