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Finding the Fourth Proportional to 257.81, 386.39 and 165.23

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Solution

The fourth proportional to 257.81, 386.39 and 165.23 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.81 : 386.39 = 165.23 : x
  2. Step 2: Convert to fraction form
    257.81/386.39 = 165.23/x
  3. Step 3: Cross multiply
    257.81x = 386.39 × 165.23
  4. Step 4: Simplify right side
    257.81x = 63,840.46
  5. Step 5: Solve for x
    x = 63,840.46/257.81
  6. Step 6: Final answer
    x = 247.62

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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.