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Finding the Fourth Proportional to 262.14, 392.74 and 220.22

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Solution

The fourth proportional to 262.14, 392.74 and 220.22 is: 329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.14 : 392.74 = 220.22 : x
  2. Step 2: Convert to fraction form
    262.14/392.74 = 220.22/x
  3. Step 3: Cross multiply
    262.14x = 392.74 × 220.22
  4. Step 4: Simplify right side
    262.14x = 86,489.20
  5. Step 5: Solve for x
    x = 86,489.20/262.14
  6. Step 6: Final answer
    x = 329.94

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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.