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Finding the Fourth Proportional to 257.65, 386.32 and 109.23

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Solution

The fourth proportional to 257.65, 386.32 and 109.23 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.65 : 386.32 = 109.23 : x
  2. Step 2: Convert to fraction form
    257.65/386.32 = 109.23/x
  3. Step 3: Cross multiply
    257.65x = 386.32 × 109.23
  4. Step 4: Simplify right side
    257.65x = 42,197.73
  5. Step 5: Solve for x
    x = 42,197.73/257.65
  6. Step 6: Final answer
    x = 163.78

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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.