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Finding the Fourth Proportional to 189.69, 261.93 and 134.55

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Solution

The fourth proportional to 189.69, 261.93 and 134.55 is: 185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.69 : 261.93 = 134.55 : x
  2. Step 2: Convert to fraction form
    189.69/261.93 = 134.55/x
  3. Step 3: Cross multiply
    189.69x = 261.93 × 134.55
  4. Step 4: Simplify right side
    189.69x = 35,242.68
  5. Step 5: Solve for x
    x = 35,242.68/189.69
  6. Step 6: Final answer
    x = 185.79

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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.