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Finding the Fourth Proportional to 189.62, 261.60 and 119.66

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Solution

The fourth proportional to 189.62, 261.60 and 119.66 is: 165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.62 : 261.60 = 119.66 : x
  2. Step 2: Convert to fraction form
    189.62/261.60 = 119.66/x
  3. Step 3: Cross multiply
    189.62x = 261.60 × 119.66
  4. Step 4: Simplify right side
    189.62x = 31,303.06
  5. Step 5: Solve for x
    x = 31,303.06/189.62
  6. Step 6: Final answer
    x = 165.08

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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.