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Finding the Fourth Proportional to 189.57, 261.63 and 119.64

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Solution

The fourth proportional to 189.57, 261.63 and 119.64 is: 165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.57 : 261.63 = 119.64 : x
  2. Step 2: Convert to fraction form
    189.57/261.63 = 119.64/x
  3. Step 3: Cross multiply
    189.57x = 261.63 × 119.64
  4. Step 4: Simplify right side
    189.57x = 31,301.41
  5. Step 5: Solve for x
    x = 31,301.41/189.57
  6. Step 6: Final answer
    x = 165.12

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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.