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Finding the Fourth Proportional to 262.83, 393.63 and 204.68

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Solution

The fourth proportional to 262.83, 393.63 and 204.68 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 393.63 = 204.68 : x
  2. Step 2: Convert to fraction form
    262.83/393.63 = 204.68/x
  3. Step 3: Cross multiply
    262.83x = 393.63 × 204.68
  4. Step 4: Simplify right side
    262.83x = 80,566.22
  5. Step 5: Solve for x
    x = 80,566.22/262.83
  6. Step 6: Final answer
    x = 306.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.