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Finding the Fourth Proportional to 189.55, 261.41 and 164.95

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Solution

The fourth proportional to 189.55, 261.41 and 164.95 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.55 : 261.41 = 164.95 : x
  2. Step 2: Convert to fraction form
    189.55/261.41 = 164.95/x
  3. Step 3: Cross multiply
    189.55x = 261.41 × 164.95
  4. Step 4: Simplify right side
    189.55x = 43,119.58
  5. Step 5: Solve for x
    x = 43,119.58/189.55
  6. Step 6: Final answer
    x = 227.48

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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.