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Finding the Fourth Proportional to 191.37, 263.88 and 166.77

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Solution

The fourth proportional to 191.37, 263.88 and 166.77 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.37 : 263.88 = 166.77 : x
  2. Step 2: Convert to fraction form
    191.37/263.88 = 166.77/x
  3. Step 3: Cross multiply
    191.37x = 263.88 × 166.77
  4. Step 4: Simplify right side
    191.37x = 44,007.27
  5. Step 5: Solve for x
    x = 44,007.27/191.37
  6. Step 6: Final answer
    x = 229.96

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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.