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Finding the Fourth Proportional to 164.69, 226.69 and 141.35

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Solution

The fourth proportional to 164.69, 226.69 and 141.35 is: 194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 226.69 = 141.35 : x
  2. Step 2: Convert to fraction form
    164.69/226.69 = 141.35/x
  3. Step 3: Cross multiply
    164.69x = 226.69 × 141.35
  4. Step 4: Simplify right side
    164.69x = 32,042.63
  5. Step 5: Solve for x
    x = 32,042.63/164.69
  6. Step 6: Final answer
    x = 194.56

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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.