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Finding the Fourth Proportional to 236.52, 354.78 and 164.97

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Solution

The fourth proportional to 236.52, 354.78 and 164.97 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.52 : 354.78 = 164.97 : x
  2. Step 2: Convert to fraction form
    236.52/354.78 = 164.97/x
  3. Step 3: Cross multiply
    236.52x = 354.78 × 164.97
  4. Step 4: Simplify right side
    236.52x = 58,528.06
  5. Step 5: Solve for x
    x = 58,528.06/236.52
  6. Step 6: Final answer
    x = 247.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.