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Finding the Fourth Proportional to 262.60, 362.51 and 192.67

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Solution

The fourth proportional to 262.60, 362.51 and 192.67 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.60 : 362.51 = 192.67 : x
  2. Step 2: Convert to fraction form
    262.60/362.51 = 192.67/x
  3. Step 3: Cross multiply
    262.60x = 362.51 × 192.67
  4. Step 4: Simplify right side
    262.60x = 69,843.84
  5. Step 5: Solve for x
    x = 69,843.84/262.60
  6. Step 6: Final answer
    x = 265.97

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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.