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Finding the Fourth Proportional to 175.13, 262.35 and 136.43

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Solution

The fourth proportional to 175.13, 262.35 and 136.43 is: 204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 262.35 = 136.43 : x
  2. Step 2: Convert to fraction form
    175.13/262.35 = 136.43/x
  3. Step 3: Cross multiply
    175.13x = 262.35 × 136.43
  4. Step 4: Simplify right side
    175.13x = 35,791.10
  5. Step 5: Solve for x
    x = 35,791.10/175.13
  6. Step 6: Final answer
    x = 204.37

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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.