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Finding the Fourth Proportional to 279.85, 419.79 and 94.75

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Solution

The fourth proportional to 279.85, 419.79 and 94.75 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.85 : 419.79 = 94.75 : x
  2. Step 2: Convert to fraction form
    279.85/419.79 = 94.75/x
  3. Step 3: Cross multiply
    279.85x = 419.79 × 94.75
  4. Step 4: Simplify right side
    279.85x = 39,775.10
  5. Step 5: Solve for x
    x = 39,775.10/279.85
  6. Step 6: Final answer
    x = 142.13

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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.