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Finding the Fourth Proportional to 355.98, 491.25 and 200.73

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Solution

The fourth proportional to 355.98, 491.25 and 200.73 is: 277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.98 : 491.25 = 200.73 : x
  2. Step 2: Convert to fraction form
    355.98/491.25 = 200.73/x
  3. Step 3: Cross multiply
    355.98x = 491.25 × 200.73
  4. Step 4: Simplify right side
    355.98x = 98,608.61
  5. Step 5: Solve for x
    x = 98,608.61/355.98
  6. Step 6: Final answer
    x = 277.01

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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.