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Finding the Fourth Proportional to 301.74, 416.26 and 203.52

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Solution

The fourth proportional to 301.74, 416.26 and 203.52 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.74 : 416.26 = 203.52 : x
  2. Step 2: Convert to fraction form
    301.74/416.26 = 203.52/x
  3. Step 3: Cross multiply
    301.74x = 416.26 × 203.52
  4. Step 4: Simplify right side
    301.74x = 84,717.24
  5. Step 5: Solve for x
    x = 84,717.24/301.74
  6. Step 6: Final answer
    x = 280.76

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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.