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Finding the Fourth Proportional to 268.58, 402.84 and 165.78

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Solution

The fourth proportional to 268.58, 402.84 and 165.78 is: 248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.58 : 402.84 = 165.78 : x
  2. Step 2: Convert to fraction form
    268.58/402.84 = 165.78/x
  3. Step 3: Cross multiply
    268.58x = 402.84 × 165.78
  4. Step 4: Simplify right side
    268.58x = 66,782.82
  5. Step 5: Solve for x
    x = 66,782.82/268.58
  6. Step 6: Final answer
    x = 248.65

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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.