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Finding the Fourth Proportional to 175.13, 262.73 and 78.94

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Solution

The fourth proportional to 175.13, 262.73 and 78.94 is: 118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 262.73 = 78.94 : x
  2. Step 2: Convert to fraction form
    175.13/262.73 = 78.94/x
  3. Step 3: Cross multiply
    175.13x = 262.73 × 78.94
  4. Step 4: Simplify right side
    175.13x = 20,739.45
  5. Step 5: Solve for x
    x = 20,739.45/175.13
  6. Step 6: Final answer
    x = 118.43

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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.