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Finding the Fourth Proportional to 189.36, 261.30 and 106.46

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Solution

The fourth proportional to 189.36, 261.30 and 106.46 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 261.30 = 106.46 : x
  2. Step 2: Convert to fraction form
    189.36/261.30 = 106.46/x
  3. Step 3: Cross multiply
    189.36x = 261.30 × 106.46
  4. Step 4: Simplify right side
    189.36x = 27,816.69
  5. Step 5: Solve for x
    x = 27,816.69/189.36
  6. Step 6: Final answer
    x = 146.90

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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.