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Finding the Fourth Proportional to 265.44, 365.99 and 199.16

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Solution

The fourth proportional to 265.44, 365.99 and 199.16 is: 274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 365.99 = 199.16 : x
  2. Step 2: Convert to fraction form
    265.44/365.99 = 199.16/x
  3. Step 3: Cross multiply
    265.44x = 365.99 × 199.16
  4. Step 4: Simplify right side
    265.44x = 72,889.12
  5. Step 5: Solve for x
    x = 72,889.12/265.44
  6. Step 6: Final answer
    x = 274.59

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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.