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Finding the Fourth Proportional to 199.08, 275.20 and 197.24

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Solution

The fourth proportional to 199.08, 275.20 and 197.24 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 275.20 = 197.24 : x
  2. Step 2: Convert to fraction form
    199.08/275.20 = 197.24/x
  3. Step 3: Cross multiply
    199.08x = 275.20 × 197.24
  4. Step 4: Simplify right side
    199.08x = 54,280.45
  5. Step 5: Solve for x
    x = 54,280.45/199.08
  6. Step 6: Final answer
    x = 272.66

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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.