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Finding the Fourth Proportional to 364.83, 503.47 and 199.05

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Solution

The fourth proportional to 364.83, 503.47 and 199.05 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.83 : 503.47 = 199.05 : x
  2. Step 2: Convert to fraction form
    364.83/503.47 = 199.05/x
  3. Step 3: Cross multiply
    364.83x = 503.47 × 199.05
  4. Step 4: Simplify right side
    364.83x = 100,212.19
  5. Step 5: Solve for x
    x = 100,212.19/364.83
  6. Step 6: Final answer
    x = 274.69

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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.