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Finding the Fourth Proportional to 262.89, 393.16 and 234.21

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Solution

The fourth proportional to 262.89, 393.16 and 234.21 is: 350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.89 : 393.16 = 234.21 : x
  2. Step 2: Convert to fraction form
    262.89/393.16 = 234.21/x
  3. Step 3: Cross multiply
    262.89x = 393.16 × 234.21
  4. Step 4: Simplify right side
    262.89x = 92,082.00
  5. Step 5: Solve for x
    x = 92,082.00/262.89
  6. Step 6: Final answer
    x = 350.27

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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.