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Finding the Fourth Proportional to 262.20, 392.24 and 232.98

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Solution

The fourth proportional to 262.20, 392.24 and 232.98 is: 348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 392.24 = 232.98 : x
  2. Step 2: Convert to fraction form
    262.20/392.24 = 232.98/x
  3. Step 3: Cross multiply
    262.20x = 392.24 × 232.98
  4. Step 4: Simplify right side
    262.20x = 91,383.19
  5. Step 5: Solve for x
    x = 91,383.19/262.20
  6. Step 6: Final answer
    x = 348.52

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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.