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Finding the Fourth Proportional to 189.29, 261.23 and 106.40

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Solution

The fourth proportional to 189.29, 261.23 and 106.40 is: 146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 261.23 = 106.40 : x
  2. Step 2: Convert to fraction form
    189.29/261.23 = 106.40/x
  3. Step 3: Cross multiply
    189.29x = 261.23 × 106.40
  4. Step 4: Simplify right side
    189.29x = 27,794.87
  5. Step 5: Solve for x
    x = 27,794.87/189.29
  6. Step 6: Final answer
    x = 146.84

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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.