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Finding the Fourth Proportional to 189.45, 261.21 and 123.84

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Solution

The fourth proportional to 189.45, 261.21 and 123.84 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.45 : 261.21 = 123.84 : x
  2. Step 2: Convert to fraction form
    189.45/261.21 = 123.84/x
  3. Step 3: Cross multiply
    189.45x = 261.21 × 123.84
  4. Step 4: Simplify right side
    189.45x = 32,348.25
  5. Step 5: Solve for x
    x = 32,348.25/189.45
  6. Step 6: Final answer
    x = 170.75

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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.