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Finding the Fourth Proportional to 265.16, 365.94 and 199.55

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Solution

The fourth proportional to 265.16, 365.94 and 199.55 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 365.94 = 199.55 : x
  2. Step 2: Convert to fraction form
    265.16/365.94 = 199.55/x
  3. Step 3: Cross multiply
    265.16x = 365.94 × 199.55
  4. Step 4: Simplify right side
    265.16x = 73,024.24
  5. Step 5: Solve for x
    x = 73,024.24/265.16
  6. Step 6: Final answer
    x = 275.39

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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.