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Finding the Fourth Proportional to 175.46, 261.05 and 165.22

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Solution

The fourth proportional to 175.46, 261.05 and 165.22 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.46 : 261.05 = 165.22 : x
  2. Step 2: Convert to fraction form
    175.46/261.05 = 165.22/x
  3. Step 3: Cross multiply
    175.46x = 261.05 × 165.22
  4. Step 4: Simplify right side
    175.46x = 43,129.85
  5. Step 5: Solve for x
    x = 43,129.85/175.46
  6. Step 6: Final answer
    x = 245.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.