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Finding the Fourth Proportional to 262.12, 392.63 and 200.46

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Solution

The fourth proportional to 262.12, 392.63 and 200.46 is: 300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 392.63 = 200.46 : x
  2. Step 2: Convert to fraction form
    262.12/392.63 = 200.46/x
  3. Step 3: Cross multiply
    262.12x = 392.63 × 200.46
  4. Step 4: Simplify right side
    262.12x = 78,706.61
  5. Step 5: Solve for x
    x = 78,706.61/262.12
  6. Step 6: Final answer
    x = 300.27

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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.