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Finding the Fourth Proportional to 194.47, 268.36 and 119.77

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Solution

The fourth proportional to 194.47, 268.36 and 119.77 is: 165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 268.36 = 119.77 : x
  2. Step 2: Convert to fraction form
    194.47/268.36 = 119.77/x
  3. Step 3: Cross multiply
    194.47x = 268.36 × 119.77
  4. Step 4: Simplify right side
    194.47x = 32,140.51
  5. Step 5: Solve for x
    x = 32,140.51/194.47
  6. Step 6: Final answer
    x = 165.27

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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.