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Finding the Fourth Proportional to 189.42, 261.36 and 111.75

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Solution

The fourth proportional to 189.42, 261.36 and 111.75 is: 154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 261.36 = 111.75 : x
  2. Step 2: Convert to fraction form
    189.42/261.36 = 111.75/x
  3. Step 3: Cross multiply
    189.42x = 261.36 × 111.75
  4. Step 4: Simplify right side
    189.42x = 29,206.98
  5. Step 5: Solve for x
    x = 29,206.98/189.42
  6. Step 6: Final answer
    x = 154.19

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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.