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Finding the Fourth Proportional to 164.64, 226.80 and 141.28

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Solution

The fourth proportional to 164.64, 226.80 and 141.28 is: 194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 226.80 = 141.28 : x
  2. Step 2: Convert to fraction form
    164.64/226.80 = 141.28/x
  3. Step 3: Cross multiply
    164.64x = 226.80 × 141.28
  4. Step 4: Simplify right side
    164.64x = 32,042.30
  5. Step 5: Solve for x
    x = 32,042.30/164.64
  6. Step 6: Final answer
    x = 194.62

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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.