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Finding the Fourth Proportional to 355.10, 490.02 and 199.86

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Solution

The fourth proportional to 355.10, 490.02 and 199.86 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 490.02 = 199.86 : x
  2. Step 2: Convert to fraction form
    355.10/490.02 = 199.86/x
  3. Step 3: Cross multiply
    355.10x = 490.02 × 199.86
  4. Step 4: Simplify right side
    355.10x = 97,935.40
  5. Step 5: Solve for x
    x = 97,935.40/355.10
  6. Step 6: Final answer
    x = 275.80

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