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Finding the Fourth Proportional to 189.66, 261.12 and 165.10

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Solution

The fourth proportional to 189.66, 261.12 and 165.10 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 261.12 = 165.10 : x
  2. Step 2: Convert to fraction form
    189.66/261.12 = 165.10/x
  3. Step 3: Cross multiply
    189.66x = 261.12 × 165.10
  4. Step 4: Simplify right side
    189.66x = 43,110.91
  5. Step 5: Solve for x
    x = 43,110.91/189.66
  6. Step 6: Final answer
    x = 227.31

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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.