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Finding the Fourth Proportional to 279.94, 419.38 and 170.29

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Solution

The fourth proportional to 279.94, 419.38 and 170.29 is: 255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.94 : 419.38 = 170.29 : x
  2. Step 2: Convert to fraction form
    279.94/419.38 = 170.29/x
  3. Step 3: Cross multiply
    279.94x = 419.38 × 170.29
  4. Step 4: Simplify right side
    279.94x = 71,416.22
  5. Step 5: Solve for x
    x = 71,416.22/279.94
  6. Step 6: Final answer
    x = 255.11

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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.