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Finding the Fourth Proportional to 193.39, 266.83 and 119.71

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Solution

The fourth proportional to 193.39, 266.83 and 119.71 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.39 : 266.83 = 119.71 : x
  2. Step 2: Convert to fraction form
    193.39/266.83 = 119.71/x
  3. Step 3: Cross multiply
    193.39x = 266.83 × 119.71
  4. Step 4: Simplify right side
    193.39x = 31,942.22
  5. Step 5: Solve for x
    x = 31,942.22/193.39
  6. Step 6: Final answer
    x = 165.17

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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.