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Finding the Fourth Proportional to 262.96, 394.48 and 118.60

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Solution

The fourth proportional to 262.96, 394.48 and 118.60 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 394.48 = 118.60 : x
  2. Step 2: Convert to fraction form
    262.96/394.48 = 118.60/x
  3. Step 3: Cross multiply
    262.96x = 394.48 × 118.60
  4. Step 4: Simplify right side
    262.96x = 46,785.33
  5. Step 5: Solve for x
    x = 46,785.33/262.96
  6. Step 6: Final answer
    x = 177.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.