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Finding the Fourth Proportional to 236.38, 354.70 and 164.10

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Solution

The fourth proportional to 236.38, 354.70 and 164.10 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.38 : 354.70 = 164.10 : x
  2. Step 2: Convert to fraction form
    236.38/354.70 = 164.10/x
  3. Step 3: Cross multiply
    236.38x = 354.70 × 164.10
  4. Step 4: Simplify right side
    236.38x = 58,206.27
  5. Step 5: Solve for x
    x = 58,206.27/236.38
  6. Step 6: Final answer
    x = 246.24

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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.