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Finding the Fourth Proportional to 262.42, 362.15 and 148.85

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Solution

The fourth proportional to 262.42, 362.15 and 148.85 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.42 : 362.15 = 148.85 : x
  2. Step 2: Convert to fraction form
    262.42/362.15 = 148.85/x
  3. Step 3: Cross multiply
    262.42x = 362.15 × 148.85
  4. Step 4: Simplify right side
    262.42x = 53,906.03
  5. Step 5: Solve for x
    x = 53,906.03/262.42
  6. Step 6: Final answer
    x = 205.42

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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.