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Finding the Fourth Proportional to 279.72, 419.28 and 135.27

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Solution

The fourth proportional to 279.72, 419.28 and 135.27 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.72 : 419.28 = 135.27 : x
  2. Step 2: Convert to fraction form
    279.72/419.28 = 135.27/x
  3. Step 3: Cross multiply
    279.72x = 419.28 × 135.27
  4. Step 4: Simplify right side
    279.72x = 56,716.01
  5. Step 5: Solve for x
    x = 56,716.01/279.72
  6. Step 6: Final answer
    x = 202.76

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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.