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Finding the Fourth Proportional to 355.13, 490.10 and 197.77

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Solution

The fourth proportional to 355.13, 490.10 and 197.77 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.13 : 490.10 = 197.77 : x
  2. Step 2: Convert to fraction form
    355.13/490.10 = 197.77/x
  3. Step 3: Cross multiply
    355.13x = 490.10 × 197.77
  4. Step 4: Simplify right side
    355.13x = 96,923.64
  5. Step 5: Solve for x
    x = 96,923.64/355.13
  6. Step 6: Final answer
    x = 272.93

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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.