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Finding the Fourth Proportional to 279.16, 418.29 and 96.46

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Solution

The fourth proportional to 279.16, 418.29 and 96.46 is: 144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.16 : 418.29 = 96.46 : x
  2. Step 2: Convert to fraction form
    279.16/418.29 = 96.46/x
  3. Step 3: Cross multiply
    279.16x = 418.29 × 96.46
  4. Step 4: Simplify right side
    279.16x = 40,348.25
  5. Step 5: Solve for x
    x = 40,348.25/279.16
  6. Step 6: Final answer
    x = 144.53

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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.