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Finding the Fourth Proportional to 175.44, 262.99 and 84.16

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Solution

The fourth proportional to 175.44, 262.99 and 84.16 is: 126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.44 : 262.99 = 84.16 : x
  2. Step 2: Convert to fraction form
    175.44/262.99 = 84.16/x
  3. Step 3: Cross multiply
    175.44x = 262.99 × 84.16
  4. Step 4: Simplify right side
    175.44x = 22,133.24
  5. Step 5: Solve for x
    x = 22,133.24/175.44
  6. Step 6: Final answer
    x = 126.16

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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.