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Finding the Fourth Proportional to 175.26, 262.80 and 94.14

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Solution

The fourth proportional to 175.26, 262.80 and 94.14 is: 141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.26 : 262.80 = 94.14 : x
  2. Step 2: Convert to fraction form
    175.26/262.80 = 94.14/x
  3. Step 3: Cross multiply
    175.26x = 262.80 × 94.14
  4. Step 4: Simplify right side
    175.26x = 24,739.99
  5. Step 5: Solve for x
    x = 24,739.99/175.26
  6. Step 6: Final answer
    x = 141.16

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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.