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Finding the Fourth Proportional to 262.97, 394.62 and 181.66

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Solution

The fourth proportional to 262.97, 394.62 and 181.66 is: 272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 394.62 = 181.66 : x
  2. Step 2: Convert to fraction form
    262.97/394.62 = 181.66/x
  3. Step 3: Cross multiply
    262.97x = 394.62 × 181.66
  4. Step 4: Simplify right side
    262.97x = 71,686.67
  5. Step 5: Solve for x
    x = 71,686.67/262.97
  6. Step 6: Final answer
    x = 272.60

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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.