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Finding the Fourth Proportional to 262.90, 392.69 and 221.89

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Solution

The fourth proportional to 262.90, 392.69 and 221.89 is: 331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.90 : 392.69 = 221.89 : x
  2. Step 2: Convert to fraction form
    262.90/392.69 = 221.89/x
  3. Step 3: Cross multiply
    262.90x = 392.69 × 221.89
  4. Step 4: Simplify right side
    262.90x = 87,133.98
  5. Step 5: Solve for x
    x = 87,133.98/262.90
  6. Step 6: Final answer
    x = 331.43

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