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Finding the Fourth Proportional to 279.16, 418.74 and 96.56

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Solution

The fourth proportional to 279.16, 418.74 and 96.56 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.16 : 418.74 = 96.56 : x
  2. Step 2: Convert to fraction form
    279.16/418.74 = 96.56/x
  3. Step 3: Cross multiply
    279.16x = 418.74 × 96.56
  4. Step 4: Simplify right side
    279.16x = 40,432.65
  5. Step 5: Solve for x
    x = 40,432.65/279.16
  6. Step 6: Final answer
    x = 144.84

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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.