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Finding the Fourth Proportional to 279.57, 419.13 and 135.21

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Solution

The fourth proportional to 279.57, 419.13 and 135.21 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.57 : 419.13 = 135.21 : x
  2. Step 2: Convert to fraction form
    279.57/419.13 = 135.21/x
  3. Step 3: Cross multiply
    279.57x = 419.13 × 135.21
  4. Step 4: Simplify right side
    279.57x = 56,670.57
  5. Step 5: Solve for x
    x = 56,670.57/279.57
  6. Step 6: Final answer
    x = 202.71

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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.