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Finding the Fourth Proportional to 364.88, 503.54 and 199.10

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Solution

The fourth proportional to 364.88, 503.54 and 199.10 is: 274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 503.54 = 199.10 : x
  2. Step 2: Convert to fraction form
    364.88/503.54 = 199.10/x
  3. Step 3: Cross multiply
    364.88x = 503.54 × 199.10
  4. Step 4: Simplify right side
    364.88x = 100,251.30
  5. Step 5: Solve for x
    x = 100,251.30/364.88
  6. Step 6: Final answer
    x = 274.76

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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.