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Finding the Fourth Proportional to 364.86, 503.49 and 199.08

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Solution

The fourth proportional to 364.86, 503.49 and 199.08 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.86 : 503.49 = 199.08 : x
  2. Step 2: Convert to fraction form
    364.86/503.49 = 199.08/x
  3. Step 3: Cross multiply
    364.86x = 503.49 × 199.08
  4. Step 4: Simplify right side
    364.86x = 100,234.79
  5. Step 5: Solve for x
    x = 100,234.79/364.86
  6. Step 6: Final answer
    x = 274.72

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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.