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Finding the Fourth Proportional to 262.42, 362.17 and 157.55

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Solution

The fourth proportional to 262.42, 362.17 and 157.55 is: 217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.42 : 362.17 = 157.55 : x
  2. Step 2: Convert to fraction form
    262.42/362.17 = 157.55/x
  3. Step 3: Cross multiply
    262.42x = 362.17 × 157.55
  4. Step 4: Simplify right side
    262.42x = 57,058.07
  5. Step 5: Solve for x
    x = 57,058.07/262.42
  6. Step 6: Final answer
    x = 217.43

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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.