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Finding the Fourth Proportional to 364.95, 503.64 and 199.17

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Solution

The fourth proportional to 364.95, 503.64 and 199.17 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 503.64 = 199.17 : x
  2. Step 2: Convert to fraction form
    364.95/503.64 = 199.17/x
  3. Step 3: Cross multiply
    364.95x = 503.64 × 199.17
  4. Step 4: Simplify right side
    364.95x = 100,309.98
  5. Step 5: Solve for x
    x = 100,309.98/364.95
  6. Step 6: Final answer
    x = 274.86

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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.