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Finding the Fourth Proportional to 279.85, 419.78 and 165.09

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Solution

The fourth proportional to 279.85, 419.78 and 165.09 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.85 : 419.78 = 165.09 : x
  2. Step 2: Convert to fraction form
    279.85/419.78 = 165.09/x
  3. Step 3: Cross multiply
    279.85x = 419.78 × 165.09
  4. Step 4: Simplify right side
    279.85x = 69,301.48
  5. Step 5: Solve for x
    x = 69,301.48/279.85
  6. Step 6: Final answer
    x = 247.64

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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.