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Finding the Fourth Proportional to 268.44, 370.67 and 181.36

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Solution

The fourth proportional to 268.44, 370.67 and 181.36 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.44 : 370.67 = 181.36 : x
  2. Step 2: Convert to fraction form
    268.44/370.67 = 181.36/x
  3. Step 3: Cross multiply
    268.44x = 370.67 × 181.36
  4. Step 4: Simplify right side
    268.44x = 67,224.71
  5. Step 5: Solve for x
    x = 67,224.71/268.44
  6. Step 6: Final answer
    x = 250.43

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Why These Related Problems?

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