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Finding the Fourth Proportional to 262.07, 393.36 and 204.90

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Solution

The fourth proportional to 262.07, 393.36 and 204.90 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.07 : 393.36 = 204.90 : x
  2. Step 2: Convert to fraction form
    262.07/393.36 = 204.90/x
  3. Step 3: Cross multiply
    262.07x = 393.36 × 204.90
  4. Step 4: Simplify right side
    262.07x = 80,599.46
  5. Step 5: Solve for x
    x = 80,599.46/262.07
  6. Step 6: Final answer
    x = 307.56

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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.