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Finding the Fourth Proportional to 189.46, 261.43 and 106.57

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Solution

The fourth proportional to 189.46, 261.43 and 106.57 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.46 : 261.43 = 106.57 : x
  2. Step 2: Convert to fraction form
    189.46/261.43 = 106.57/x
  3. Step 3: Cross multiply
    189.46x = 261.43 × 106.57
  4. Step 4: Simplify right side
    189.46x = 27,859.68
  5. Step 5: Solve for x
    x = 27,859.68/189.46
  6. Step 6: Final answer
    x = 147.05

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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.