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Finding the Fourth Proportional to 262.89, 394.33 and 118.60

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Solution

The fourth proportional to 262.89, 394.33 and 118.60 is: 177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.89 : 394.33 = 118.60 : x
  2. Step 2: Convert to fraction form
    262.89/394.33 = 118.60/x
  3. Step 3: Cross multiply
    262.89x = 394.33 × 118.60
  4. Step 4: Simplify right side
    262.89x = 46,767.54
  5. Step 5: Solve for x
    x = 46,767.54/262.89
  6. Step 6: Final answer
    x = 177.90

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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.