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Finding the Fourth Proportional to 175.37, 263.22 and 94.38

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Solution

The fourth proportional to 175.37, 263.22 and 94.38 is: 141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 263.22 = 94.38 : x
  2. Step 2: Convert to fraction form
    175.37/263.22 = 94.38/x
  3. Step 3: Cross multiply
    175.37x = 263.22 × 94.38
  4. Step 4: Simplify right side
    175.37x = 24,842.70
  5. Step 5: Solve for x
    x = 24,842.70/175.37
  6. Step 6: Final answer
    x = 141.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.