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Finding the Fourth Proportional to 300.99, 415.53 and 202.92

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Solution

The fourth proportional to 300.99, 415.53 and 202.92 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.99 : 415.53 = 202.92 : x
  2. Step 2: Convert to fraction form
    300.99/415.53 = 202.92/x
  3. Step 3: Cross multiply
    300.99x = 415.53 × 202.92
  4. Step 4: Simplify right side
    300.99x = 84,319.35
  5. Step 5: Solve for x
    x = 84,319.35/300.99
  6. Step 6: Final answer
    x = 280.14

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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.