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Finding the Fourth Proportional to 279.06, 418.47 and 96.47

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Solution

The fourth proportional to 279.06, 418.47 and 96.47 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.06 : 418.47 = 96.47 : x
  2. Step 2: Convert to fraction form
    279.06/418.47 = 96.47/x
  3. Step 3: Cross multiply
    279.06x = 418.47 × 96.47
  4. Step 4: Simplify right side
    279.06x = 40,369.80
  5. Step 5: Solve for x
    x = 40,369.80/279.06
  6. Step 6: Final answer
    x = 144.66

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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.