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Finding the Fourth Proportional to 175.21, 262.80 and 110.22

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Solution

The fourth proportional to 175.21, 262.80 and 110.22 is: 165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.21 : 262.80 = 110.22 : x
  2. Step 2: Convert to fraction form
    175.21/262.80 = 110.22/x
  3. Step 3: Cross multiply
    175.21x = 262.80 × 110.22
  4. Step 4: Simplify right side
    175.21x = 28,965.82
  5. Step 5: Solve for x
    x = 28,965.82/175.21
  6. Step 6: Final answer
    x = 165.32

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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.