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Finding the Fourth Proportional to 292.27, 403.36 and 193.86

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Solution

The fourth proportional to 292.27, 403.36 and 193.86 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.27 : 403.36 = 193.86 : x
  2. Step 2: Convert to fraction form
    292.27/403.36 = 193.86/x
  3. Step 3: Cross multiply
    292.27x = 403.36 × 193.86
  4. Step 4: Simplify right side
    292.27x = 78,195.37
  5. Step 5: Solve for x
    x = 78,195.37/292.27
  6. Step 6: Final answer
    x = 267.54

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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.