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Finding the Fourth Proportional to 189.51, 261.03 and 164.52

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Solution

The fourth proportional to 189.51, 261.03 and 164.52 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.51 : 261.03 = 164.52 : x
  2. Step 2: Convert to fraction form
    189.51/261.03 = 164.52/x
  3. Step 3: Cross multiply
    189.51x = 261.03 × 164.52
  4. Step 4: Simplify right side
    189.51x = 42,944.66
  5. Step 5: Solve for x
    x = 42,944.66/189.51
  6. Step 6: Final answer
    x = 226.61

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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.