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Finding the Fourth Proportional to 189.58, 261.45 and 123.97

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Solution

The fourth proportional to 189.58, 261.45 and 123.97 is: 170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.58 : 261.45 = 123.97 : x
  2. Step 2: Convert to fraction form
    189.58/261.45 = 123.97/x
  3. Step 3: Cross multiply
    189.58x = 261.45 × 123.97
  4. Step 4: Simplify right side
    189.58x = 32,411.96
  5. Step 5: Solve for x
    x = 32,411.96/189.58
  6. Step 6: Final answer
    x = 170.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.