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Finding the Fourth Proportional to 191.72, 263.78 and 165.80

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Solution

The fourth proportional to 191.72, 263.78 and 165.80 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 263.78 = 165.80 : x
  2. Step 2: Convert to fraction form
    191.72/263.78 = 165.80/x
  3. Step 3: Cross multiply
    191.72x = 263.78 × 165.80
  4. Step 4: Simplify right side
    191.72x = 43,734.72
  5. Step 5: Solve for x
    x = 43,734.72/191.72
  6. Step 6: Final answer
    x = 228.12

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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.