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Finding the Fourth Proportional to 175.36, 262.88 and 94.04

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Solution

The fourth proportional to 175.36, 262.88 and 94.04 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.36 : 262.88 = 94.04 : x
  2. Step 2: Convert to fraction form
    175.36/262.88 = 94.04/x
  3. Step 3: Cross multiply
    175.36x = 262.88 × 94.04
  4. Step 4: Simplify right side
    175.36x = 24,721.24
  5. Step 5: Solve for x
    x = 24,721.24/175.36
  6. Step 6: Final answer
    x = 140.97

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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.