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Finding the Fourth Proportional to 262.50, 392.70 and 222.96

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Solution

The fourth proportional to 262.50, 392.70 and 222.96 is: 333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 392.70 = 222.96 : x
  2. Step 2: Convert to fraction form
    262.50/392.70 = 222.96/x
  3. Step 3: Cross multiply
    262.50x = 392.70 × 222.96
  4. Step 4: Simplify right side
    262.50x = 87,556.39
  5. Step 5: Solve for x
    x = 87,556.39/262.50
  6. Step 6: Final answer
    x = 333.55

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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.