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Finding the Fourth Proportional to 236.30, 354.14 and 164

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Solution

The fourth proportional to 236.30, 354.14 and 164 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.30 : 354.14 = 164 : x
  2. Step 2: Convert to fraction form
    236.30/354.14 = 164/x
  3. Step 3: Cross multiply
    236.30x = 354.14 × 164
  4. Step 4: Simplify right side
    236.30x = 58,078.96
  5. Step 5: Solve for x
    x = 58,078.96/236.30
  6. Step 6: Final answer
    x = 245.78

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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.