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Finding the Fourth Proportional to 262.37, 362.07 and 145.92

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Solution

The fourth proportional to 262.37, 362.07 and 145.92 is: 201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.37 : 362.07 = 145.92 : x
  2. Step 2: Convert to fraction form
    262.37/362.07 = 145.92/x
  3. Step 3: Cross multiply
    262.37x = 362.07 × 145.92
  4. Step 4: Simplify right side
    262.37x = 52,833.25
  5. Step 5: Solve for x
    x = 52,833.25/262.37
  6. Step 6: Final answer
    x = 201.37

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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.