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Finding the Fourth Proportional to 175.12, 262.32 and 134.62

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Solution

The fourth proportional to 175.12, 262.32 and 134.62 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.12 : 262.32 = 134.62 : x
  2. Step 2: Convert to fraction form
    175.12/262.32 = 134.62/x
  3. Step 3: Cross multiply
    175.12x = 262.32 × 134.62
  4. Step 4: Simplify right side
    175.12x = 35,313.52
  5. Step 5: Solve for x
    x = 35,313.52/175.12
  6. Step 6: Final answer
    x = 201.65

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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.