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Finding the Fourth Proportional to 236.77, 354.91 and 164.48

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Solution

The fourth proportional to 236.77, 354.91 and 164.48 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.77 : 354.91 = 164.48 : x
  2. Step 2: Convert to fraction form
    236.77/354.91 = 164.48/x
  3. Step 3: Cross multiply
    236.77x = 354.91 × 164.48
  4. Step 4: Simplify right side
    236.77x = 58,373.41
  5. Step 5: Solve for x
    x = 58,373.41/236.77
  6. Step 6: Final answer
    x = 246.54

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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.