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Finding the Fourth Proportional to 307.74, 424.63 and 204.22

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Solution

The fourth proportional to 307.74, 424.63 and 204.22 is: 281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 424.63 = 204.22 : x
  2. Step 2: Convert to fraction form
    307.74/424.63 = 204.22/x
  3. Step 3: Cross multiply
    307.74x = 424.63 × 204.22
  4. Step 4: Simplify right side
    307.74x = 86,717.94
  5. Step 5: Solve for x
    x = 86,717.94/307.74
  6. Step 6: Final answer
    x = 281.79

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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.