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Finding the Fourth Proportional to 262.84, 362.26 and 232.67

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Solution

The fourth proportional to 262.84, 362.26 and 232.67 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 362.26 = 232.67 : x
  2. Step 2: Convert to fraction form
    262.84/362.26 = 232.67/x
  3. Step 3: Cross multiply
    262.84x = 362.26 × 232.67
  4. Step 4: Simplify right side
    262.84x = 84,287.03
  5. Step 5: Solve for x
    x = 84,287.03/262.84
  6. Step 6: Final answer
    x = 320.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.