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Finding the Fourth Proportional to 365.49, 504.38 and 199.71

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Solution

The fourth proportional to 365.49, 504.38 and 199.71 is: 275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 504.38 = 199.71 : x
  2. Step 2: Convert to fraction form
    365.49/504.38 = 199.71/x
  3. Step 3: Cross multiply
    365.49x = 504.38 × 199.71
  4. Step 4: Simplify right side
    365.49x = 100,729.73
  5. Step 5: Solve for x
    x = 100,729.73/365.49
  6. Step 6: Final answer
    x = 275.60

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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.