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Finding the Fourth Proportional to 211.92, 292.83 and 165.42

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Solution

The fourth proportional to 211.92, 292.83 and 165.42 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 292.83 = 165.42 : x
  2. Step 2: Convert to fraction form
    211.92/292.83 = 165.42/x
  3. Step 3: Cross multiply
    211.92x = 292.83 × 165.42
  4. Step 4: Simplify right side
    211.92x = 48,439.94
  5. Step 5: Solve for x
    x = 48,439.94/211.92
  6. Step 6: Final answer
    x = 228.58

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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.