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Finding the Fourth Proportional to 262.69, 393.21 and 159.64

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Solution

The fourth proportional to 262.69, 393.21 and 159.64 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.69 : 393.21 = 159.64 : x
  2. Step 2: Convert to fraction form
    262.69/393.21 = 159.64/x
  3. Step 3: Cross multiply
    262.69x = 393.21 × 159.64
  4. Step 4: Simplify right side
    262.69x = 62,773.27
  5. Step 5: Solve for x
    x = 62,773.27/262.69
  6. Step 6: Final answer
    x = 238.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.