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Finding the Fourth Proportional to 189.29, 261.30 and 123.90

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Solution

The fourth proportional to 189.29, 261.30 and 123.90 is: 171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 261.30 = 123.90 : x
  2. Step 2: Convert to fraction form
    189.29/261.30 = 123.90/x
  3. Step 3: Cross multiply
    189.29x = 261.30 × 123.90
  4. Step 4: Simplify right side
    189.29x = 32,375.07
  5. Step 5: Solve for x
    x = 32,375.07/189.29
  6. Step 6: Final answer
    x = 171.03

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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.