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Finding the Fourth Proportional to 255.96, 382.92 and 164.40

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Solution

The fourth proportional to 255.96, 382.92 and 164.40 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 382.92 = 164.40 : x
  2. Step 2: Convert to fraction form
    255.96/382.92 = 164.40/x
  3. Step 3: Cross multiply
    255.96x = 382.92 × 164.40
  4. Step 4: Simplify right side
    255.96x = 62,952.05
  5. Step 5: Solve for x
    x = 62,952.05/255.96
  6. Step 6: Final answer
    x = 245.94

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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.