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Finding the Fourth Proportional to 279.48, 419.22 and 96.78

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Solution

The fourth proportional to 279.48, 419.22 and 96.78 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.48 : 419.22 = 96.78 : x
  2. Step 2: Convert to fraction form
    279.48/419.22 = 96.78/x
  3. Step 3: Cross multiply
    279.48x = 419.22 × 96.78
  4. Step 4: Simplify right side
    279.48x = 40,572.11
  5. Step 5: Solve for x
    x = 40,572.11/279.48
  6. Step 6: Final answer
    x = 145.17

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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.