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Finding the Fourth Proportional to 189.38, 261.34 and 110.69

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Solution

The fourth proportional to 189.38, 261.34 and 110.69 is: 152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.38 : 261.34 = 110.69 : x
  2. Step 2: Convert to fraction form
    189.38/261.34 = 110.69/x
  3. Step 3: Cross multiply
    189.38x = 261.34 × 110.69
  4. Step 4: Simplify right side
    189.38x = 28,926.42
  5. Step 5: Solve for x
    x = 28,926.42/189.38
  6. Step 6: Final answer
    x = 152.75

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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.