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Finding the Fourth Proportional to 191.63, 263.84 and 161.93

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Solution

The fourth proportional to 191.63, 263.84 and 161.93 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.63 : 263.84 = 161.93 : x
  2. Step 2: Convert to fraction form
    191.63/263.84 = 161.93/x
  3. Step 3: Cross multiply
    191.63x = 263.84 × 161.93
  4. Step 4: Simplify right side
    191.63x = 42,721.48
  5. Step 5: Solve for x
    x = 42,721.48/191.63
  6. Step 6: Final answer
    x = 222.94

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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.