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Finding the Fourth Proportional to 175.66, 262.96 and 120.70

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Solution

The fourth proportional to 175.66, 262.96 and 120.70 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.66 : 262.96 = 120.70 : x
  2. Step 2: Convert to fraction form
    175.66/262.96 = 120.70/x
  3. Step 3: Cross multiply
    175.66x = 262.96 × 120.70
  4. Step 4: Simplify right side
    175.66x = 31,739.27
  5. Step 5: Solve for x
    x = 31,739.27/175.66
  6. Step 6: Final answer
    x = 180.69

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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.