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Finding the Fourth Proportional to 356.56, 492.09 and 199.21

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Solution

The fourth proportional to 356.56, 492.09 and 199.21 is: 274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.56 : 492.09 = 199.21 : x
  2. Step 2: Convert to fraction form
    356.56/492.09 = 199.21/x
  3. Step 3: Cross multiply
    356.56x = 492.09 × 199.21
  4. Step 4: Simplify right side
    356.56x = 98,029.25
  5. Step 5: Solve for x
    x = 98,029.25/356.56
  6. Step 6: Final answer
    x = 274.93

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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.