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Finding the Fourth Proportional to 262.62, 392.06 and 221.61

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Solution

The fourth proportional to 262.62, 392.06 and 221.61 is: 330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 392.06 = 221.61 : x
  2. Step 2: Convert to fraction form
    262.62/392.06 = 221.61/x
  3. Step 3: Cross multiply
    262.62x = 392.06 × 221.61
  4. Step 4: Simplify right side
    262.62x = 86,884.42
  5. Step 5: Solve for x
    x = 86,884.42/262.62
  6. Step 6: Final answer
    x = 330.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.