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Finding the Fourth Proportional to 301.19, 415.77 and 203.24

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Solution

The fourth proportional to 301.19, 415.77 and 203.24 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.19 : 415.77 = 203.24 : x
  2. Step 2: Convert to fraction form
    301.19/415.77 = 203.24/x
  3. Step 3: Cross multiply
    301.19x = 415.77 × 203.24
  4. Step 4: Simplify right side
    301.19x = 84,502.13
  5. Step 5: Solve for x
    x = 84,502.13/301.19
  6. Step 6: Final answer
    x = 280.56

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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.