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Finding the Fourth Proportional to 199.41, 275.24 and 141.21

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Solution

The fourth proportional to 199.41, 275.24 and 141.21 is: 194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 275.24 = 141.21 : x
  2. Step 2: Convert to fraction form
    199.41/275.24 = 141.21/x
  3. Step 3: Cross multiply
    199.41x = 275.24 × 141.21
  4. Step 4: Simplify right side
    199.41x = 38,865.93
  5. Step 5: Solve for x
    x = 38,865.93/199.41
  6. Step 6: Final answer
    x = 194.90

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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.