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Finding the Fourth Proportional to 262.09, 362.36 and 250.61

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Solution

The fourth proportional to 262.09, 362.36 and 250.61 is: 346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.09 : 362.36 = 250.61 : x
  2. Step 2: Convert to fraction form
    262.09/362.36 = 250.61/x
  3. Step 3: Cross multiply
    262.09x = 362.36 × 250.61
  4. Step 4: Simplify right side
    262.09x = 90,811.04
  5. Step 5: Solve for x
    x = 90,811.04/262.09
  6. Step 6: Final answer
    x = 346.49

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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.