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Finding the Fourth Proportional to 189.40, 261.32 and 111.76

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Solution

The fourth proportional to 189.40, 261.32 and 111.76 is: 154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 261.32 = 111.76 : x
  2. Step 2: Convert to fraction form
    189.40/261.32 = 111.76/x
  3. Step 3: Cross multiply
    189.40x = 261.32 × 111.76
  4. Step 4: Simplify right side
    189.40x = 29,205.12
  5. Step 5: Solve for x
    x = 29,205.12/189.40
  6. Step 6: Final answer
    x = 154.20

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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.