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Finding the Fourth Proportional to 189.59, 261.74 and 119.66

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Solution

The fourth proportional to 189.59, 261.74 and 119.66 is: 165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.59 : 261.74 = 119.66 : x
  2. Step 2: Convert to fraction form
    189.59/261.74 = 119.66/x
  3. Step 3: Cross multiply
    189.59x = 261.74 × 119.66
  4. Step 4: Simplify right side
    189.59x = 31,319.21
  5. Step 5: Solve for x
    x = 31,319.21/189.59
  6. Step 6: Final answer
    x = 165.19

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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.