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Finding the Fourth Proportional to 232.44, 320.46 and 174.12

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Solution

The fourth proportional to 232.44, 320.46 and 174.12 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 320.46 = 174.12 : x
  2. Step 2: Convert to fraction form
    232.44/320.46 = 174.12/x
  3. Step 3: Cross multiply
    232.44x = 320.46 × 174.12
  4. Step 4: Simplify right side
    232.44x = 55,798.50
  5. Step 5: Solve for x
    x = 55,798.50/232.44
  6. Step 6: Final answer
    x = 240.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.