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Finding the Fourth Proportional to 189.74, 261.79 and 112.07

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Solution

The fourth proportional to 189.74, 261.79 and 112.07 is: 154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.74 : 261.79 = 112.07 : x
  2. Step 2: Convert to fraction form
    189.74/261.79 = 112.07/x
  3. Step 3: Cross multiply
    189.74x = 261.79 × 112.07
  4. Step 4: Simplify right side
    189.74x = 29,338.81
  5. Step 5: Solve for x
    x = 29,338.81/189.74
  6. Step 6: Final answer
    x = 154.63

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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.