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Finding the Fourth Proportional to 356.24, 491.58 and 200.98

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Solution

The fourth proportional to 356.24, 491.58 and 200.98 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 491.58 = 200.98 : x
  2. Step 2: Convert to fraction form
    356.24/491.58 = 200.98/x
  3. Step 3: Cross multiply
    356.24x = 491.58 × 200.98
  4. Step 4: Simplify right side
    356.24x = 98,797.75
  5. Step 5: Solve for x
    x = 98,797.75/356.24
  6. Step 6: Final answer
    x = 277.33

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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.