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Finding the Fourth Proportional to 189.64, 261.82 and 119.77

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Solution

The fourth proportional to 189.64, 261.82 and 119.77 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 261.82 = 119.77 : x
  2. Step 2: Convert to fraction form
    189.64/261.82 = 119.77/x
  3. Step 3: Cross multiply
    189.64x = 261.82 × 119.77
  4. Step 4: Simplify right side
    189.64x = 31,358.18
  5. Step 5: Solve for x
    x = 31,358.18/189.64
  6. Step 6: Final answer
    x = 165.36

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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.