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Finding the Fourth Proportional to 175.98, 263.78 and 134.21

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Solution

The fourth proportional to 175.98, 263.78 and 134.21 is: 201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.98 : 263.78 = 134.21 : x
  2. Step 2: Convert to fraction form
    175.98/263.78 = 134.21/x
  3. Step 3: Cross multiply
    175.98x = 263.78 × 134.21
  4. Step 4: Simplify right side
    175.98x = 35,399.92
  5. Step 5: Solve for x
    x = 35,399.92/175.98
  6. Step 6: Final answer
    x = 201.16

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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.