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Finding the Fourth Proportional to 279.37, 418.96 and 96.76

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Solution

The fourth proportional to 279.37, 418.96 and 96.76 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.37 : 418.96 = 96.76 : x
  2. Step 2: Convert to fraction form
    279.37/418.96 = 96.76/x
  3. Step 3: Cross multiply
    279.37x = 418.96 × 96.76
  4. Step 4: Simplify right side
    279.37x = 40,538.57
  5. Step 5: Solve for x
    x = 40,538.57/279.37
  6. Step 6: Final answer
    x = 145.11

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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.