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Finding the Fourth Proportional to 268.77, 370.82 and 158.21

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Solution

The fourth proportional to 268.77, 370.82 and 158.21 is: 218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.77 : 370.82 = 158.21 : x
  2. Step 2: Convert to fraction form
    268.77/370.82 = 158.21/x
  3. Step 3: Cross multiply
    268.77x = 370.82 × 158.21
  4. Step 4: Simplify right side
    268.77x = 58,664.79
  5. Step 5: Solve for x
    x = 58,664.79/268.77
  6. Step 6: Final answer
    x = 218.27

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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.