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Finding the Fourth Proportional to 223.92, 336.01 and 127.80

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Solution

The fourth proportional to 223.92, 336.01 and 127.80 is: 191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 336.01 = 127.80 : x
  2. Step 2: Convert to fraction form
    223.92/336.01 = 127.80/x
  3. Step 3: Cross multiply
    223.92x = 336.01 × 127.80
  4. Step 4: Simplify right side
    223.92x = 42,942.08
  5. Step 5: Solve for x
    x = 42,942.08/223.92
  6. Step 6: Final answer
    x = 191.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.