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Finding the Fourth Proportional to 189.21, 261.09 and 106.29

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Solution

The fourth proportional to 189.21, 261.09 and 106.29 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 261.09 = 106.29 : x
  2. Step 2: Convert to fraction form
    189.21/261.09 = 106.29/x
  3. Step 3: Cross multiply
    189.21x = 261.09 × 106.29
  4. Step 4: Simplify right side
    189.21x = 27,751.26
  5. Step 5: Solve for x
    x = 27,751.26/189.21
  6. Step 6: Final answer
    x = 146.67

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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.