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Finding the Fourth Proportional to 292.11, 403.23 and 199.16

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Solution

The fourth proportional to 292.11, 403.23 and 199.16 is: 274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.11 : 403.23 = 199.16 : x
  2. Step 2: Convert to fraction form
    292.11/403.23 = 199.16/x
  3. Step 3: Cross multiply
    292.11x = 403.23 × 199.16
  4. Step 4: Simplify right side
    292.11x = 80,306.41
  5. Step 5: Solve for x
    x = 80,306.41/292.11
  6. Step 6: Final answer
    x = 274.92

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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.