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Finding the Fourth Proportional to 268.55, 402.92 and 106.25

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Solution

The fourth proportional to 268.55, 402.92 and 106.25 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.55 : 402.92 = 106.25 : x
  2. Step 2: Convert to fraction form
    268.55/402.92 = 106.25/x
  3. Step 3: Cross multiply
    268.55x = 402.92 × 106.25
  4. Step 4: Simplify right side
    268.55x = 42,810.25
  5. Step 5: Solve for x
    x = 42,810.25/268.55
  6. Step 6: Final answer
    x = 159.41

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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.