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Finding the Fourth Proportional to 189.85, 261.96 and 111.16

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Solution

The fourth proportional to 189.85, 261.96 and 111.16 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.85 : 261.96 = 111.16 : x
  2. Step 2: Convert to fraction form
    189.85/261.96 = 111.16/x
  3. Step 3: Cross multiply
    189.85x = 261.96 × 111.16
  4. Step 4: Simplify right side
    189.85x = 29,119.47
  5. Step 5: Solve for x
    x = 29,119.47/189.85
  6. Step 6: Final answer
    x = 153.38

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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.