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Finding the Fourth Proportional to 356.43, 491.86 and 201.18

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Solution

The fourth proportional to 356.43, 491.86 and 201.18 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.43 : 491.86 = 201.18 : x
  2. Step 2: Convert to fraction form
    356.43/491.86 = 201.18/x
  3. Step 3: Cross multiply
    356.43x = 491.86 × 201.18
  4. Step 4: Simplify right side
    356.43x = 98,949.94
  5. Step 5: Solve for x
    x = 98,949.94/356.43
  6. Step 6: Final answer
    x = 277.62

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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.