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Finding the Fourth Proportional to 365.40, 504.22 and 199.60

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Solution

The fourth proportional to 365.40, 504.22 and 199.60 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.40 : 504.22 = 199.60 : x
  2. Step 2: Convert to fraction form
    365.40/504.22 = 199.60/x
  3. Step 3: Cross multiply
    365.40x = 504.22 × 199.60
  4. Step 4: Simplify right side
    365.40x = 100,642.31
  5. Step 5: Solve for x
    x = 100,642.31/365.40
  6. Step 6: Final answer
    x = 275.43

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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.