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Finding the Fourth Proportional to 264.80, 365.04 and 199.04

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Solution

The fourth proportional to 264.80, 365.04 and 199.04 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 365.04 = 199.04 : x
  2. Step 2: Convert to fraction form
    264.80/365.04 = 199.04/x
  3. Step 3: Cross multiply
    264.80x = 365.04 × 199.04
  4. Step 4: Simplify right side
    264.80x = 72,657.56
  5. Step 5: Solve for x
    x = 72,657.56/264.80
  6. Step 6: Final answer
    x = 274.39

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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.