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Finding the Fourth Proportional to 364.92, 503.59 and 199.13

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Solution

The fourth proportional to 364.92, 503.59 and 199.13 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 503.59 = 199.13 : x
  2. Step 2: Convert to fraction form
    364.92/503.59 = 199.13/x
  3. Step 3: Cross multiply
    364.92x = 503.59 × 199.13
  4. Step 4: Simplify right side
    364.92x = 100,280.14
  5. Step 5: Solve for x
    x = 100,280.14/364.92
  6. Step 6: Final answer
    x = 274.80

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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.