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Finding the Fourth Proportional to 300.65, 415.35 and 202.85

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Solution

The fourth proportional to 300.65, 415.35 and 202.85 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.65 : 415.35 = 202.85 : x
  2. Step 2: Convert to fraction form
    300.65/415.35 = 202.85/x
  3. Step 3: Cross multiply
    300.65x = 415.35 × 202.85
  4. Step 4: Simplify right side
    300.65x = 84,251.67
  5. Step 5: Solve for x
    x = 84,251.67/300.65
  6. Step 6: Final answer
    x = 280.23

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Why These Related Problems?

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