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Finding the Fourth Proportional to 189.22, 261.03 and 123.70

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Solution

The fourth proportional to 189.22, 261.03 and 123.70 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 261.03 = 123.70 : x
  2. Step 2: Convert to fraction form
    189.22/261.03 = 123.70/x
  3. Step 3: Cross multiply
    189.22x = 261.03 × 123.70
  4. Step 4: Simplify right side
    189.22x = 32,289.41
  5. Step 5: Solve for x
    x = 32,289.41/189.22
  6. Step 6: Final answer
    x = 170.64

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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.