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Finding the Fourth Proportional to 265.25, 365.83 and 199.02

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Solution

The fourth proportional to 265.25, 365.83 and 199.02 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.25 : 365.83 = 199.02 : x
  2. Step 2: Convert to fraction form
    265.25/365.83 = 199.02/x
  3. Step 3: Cross multiply
    265.25x = 365.83 × 199.02
  4. Step 4: Simplify right side
    265.25x = 72,807.49
  5. Step 5: Solve for x
    x = 72,807.49/265.25
  6. Step 6: Final answer
    x = 274.49

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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.