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Finding the Fourth Proportional to 189.42, 261.37 and 109.67

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Solution

The fourth proportional to 189.42, 261.37 and 109.67 is: 151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 261.37 = 109.67 : x
  2. Step 2: Convert to fraction form
    189.42/261.37 = 109.67/x
  3. Step 3: Cross multiply
    189.42x = 261.37 × 109.67
  4. Step 4: Simplify right side
    189.42x = 28,665.54
  5. Step 5: Solve for x
    x = 28,665.54/189.42
  6. Step 6: Final answer
    x = 151.34

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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.