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Finding the Fourth Proportional to 268.78, 402.88 and 177.54

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Solution

The fourth proportional to 268.78, 402.88 and 177.54 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.78 : 402.88 = 177.54 : x
  2. Step 2: Convert to fraction form
    268.78/402.88 = 177.54/x
  3. Step 3: Cross multiply
    268.78x = 402.88 × 177.54
  4. Step 4: Simplify right side
    268.78x = 71,527.32
  5. Step 5: Solve for x
    x = 71,527.32/268.78
  6. Step 6: Final answer
    x = 266.12

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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.