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Finding the Fourth Proportional to 264.76, 365.42 and 199.16

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Solution

The fourth proportional to 264.76, 365.42 and 199.16 is: 274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 365.42 = 199.16 : x
  2. Step 2: Convert to fraction form
    264.76/365.42 = 199.16/x
  3. Step 3: Cross multiply
    264.76x = 365.42 × 199.16
  4. Step 4: Simplify right side
    264.76x = 72,777.05
  5. Step 5: Solve for x
    x = 72,777.05/264.76
  6. Step 6: Final answer
    x = 274.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.