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Finding the Fourth Proportional to 189.25, 261.16 and 106.36

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Solution

The fourth proportional to 189.25, 261.16 and 106.36 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.25 : 261.16 = 106.36 : x
  2. Step 2: Convert to fraction form
    189.25/261.16 = 106.36/x
  3. Step 3: Cross multiply
    189.25x = 261.16 × 106.36
  4. Step 4: Simplify right side
    189.25x = 27,776.98
  5. Step 5: Solve for x
    x = 27,776.98/189.25
  6. Step 6: Final answer
    x = 146.77

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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.