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Finding the Fourth Proportional to 262.48, 392.79 and 222.37

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Solution

The fourth proportional to 262.48, 392.79 and 222.37 is: 332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.48 : 392.79 = 222.37 : x
  2. Step 2: Convert to fraction form
    262.48/392.79 = 222.37/x
  3. Step 3: Cross multiply
    262.48x = 392.79 × 222.37
  4. Step 4: Simplify right side
    262.48x = 87,344.71
  5. Step 5: Solve for x
    x = 87,344.71/262.48
  6. Step 6: Final answer
    x = 332.77

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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.