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Finding the Fourth Proportional to 364.57, 503.10 and 198.78

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Solution

The fourth proportional to 364.57, 503.10 and 198.78 is: 274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 503.10 = 198.78 : x
  2. Step 2: Convert to fraction form
    364.57/503.10 = 198.78/x
  3. Step 3: Cross multiply
    364.57x = 503.10 × 198.78
  4. Step 4: Simplify right side
    364.57x = 100,003.25
  5. Step 5: Solve for x
    x = 100,003.25/364.57
  6. Step 6: Final answer
    x = 274.31

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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.