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Finding the Fourth Proportional to 257.95, 356.24 and 199.15

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Solution

The fourth proportional to 257.95, 356.24 and 199.15 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.95 : 356.24 = 199.15 : x
  2. Step 2: Convert to fraction form
    257.95/356.24 = 199.15/x
  3. Step 3: Cross multiply
    257.95x = 356.24 × 199.15
  4. Step 4: Simplify right side
    257.95x = 70,945.20
  5. Step 5: Solve for x
    x = 70,945.20/257.95
  6. Step 6: Final answer
    x = 275.03

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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.