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Finding the Fourth Proportional to 356.22, 491.60 and 200.97

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Solution

The fourth proportional to 356.22, 491.60 and 200.97 is: 277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 491.60 = 200.97 : x
  2. Step 2: Convert to fraction form
    356.22/491.60 = 200.97/x
  3. Step 3: Cross multiply
    356.22x = 491.60 × 200.97
  4. Step 4: Simplify right side
    356.22x = 98,796.85
  5. Step 5: Solve for x
    x = 98,796.85/356.22
  6. Step 6: Final answer
    x = 277.35

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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.