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Finding the Fourth Proportional to 175.37, 263.45 and 114.62

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Solution

The fourth proportional to 175.37, 263.45 and 114.62 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 263.45 = 114.62 : x
  2. Step 2: Convert to fraction form
    175.37/263.45 = 114.62/x
  3. Step 3: Cross multiply
    175.37x = 263.45 × 114.62
  4. Step 4: Simplify right side
    175.37x = 30,195.61
  5. Step 5: Solve for x
    x = 30,195.61/175.37
  6. Step 6: Final answer
    x = 172.19

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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.