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Finding the Fourth Proportional to 199.56, 276.51 and 195.24

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Solution

The fourth proportional to 199.56, 276.51 and 195.24 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 276.51 = 195.24 : x
  2. Step 2: Convert to fraction form
    199.56/276.51 = 195.24/x
  3. Step 3: Cross multiply
    199.56x = 276.51 × 195.24
  4. Step 4: Simplify right side
    199.56x = 53,985.81
  5. Step 5: Solve for x
    x = 53,985.81/199.56
  6. Step 6: Final answer
    x = 270.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.