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Finding the Fourth Proportional to 300.81, 415.19 and 202.65

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Solution

The fourth proportional to 300.81, 415.19 and 202.65 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.81 : 415.19 = 202.65 : x
  2. Step 2: Convert to fraction form
    300.81/415.19 = 202.65/x
  3. Step 3: Cross multiply
    300.81x = 415.19 × 202.65
  4. Step 4: Simplify right side
    300.81x = 84,137.24
  5. Step 5: Solve for x
    x = 84,137.24/300.81
  6. Step 6: Final answer
    x = 279.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.