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Finding the Fourth Proportional to 262.84, 394.41 and 118.57

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Solution

The fourth proportional to 262.84, 394.41 and 118.57 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 394.41 = 118.57 : x
  2. Step 2: Convert to fraction form
    262.84/394.41 = 118.57/x
  3. Step 3: Cross multiply
    262.84x = 394.41 × 118.57
  4. Step 4: Simplify right side
    262.84x = 46,765.19
  5. Step 5: Solve for x
    x = 46,765.19/262.84
  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.