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Finding the Fourth Proportional to 268.76, 402.60 and 166.10

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Solution

The fourth proportional to 268.76, 402.60 and 166.10 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.76 : 402.60 = 166.10 : x
  2. Step 2: Convert to fraction form
    268.76/402.60 = 166.10/x
  3. Step 3: Cross multiply
    268.76x = 402.60 × 166.10
  4. Step 4: Simplify right side
    268.76x = 66,871.86
  5. Step 5: Solve for x
    x = 66,871.86/268.76
  6. Step 6: Final answer
    x = 248.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.