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Finding the Fourth Proportional to 678, 1,017 and 165

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Solution

The fourth proportional to 678, 1,017 and 165 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 1,017 = 165 : x
  2. Step 2: Convert to fraction form
    678/1,017 = 165/x
  3. Step 3: Cross multiply
    678x = 1,017 × 165
  4. Step 4: Simplify right side
    678x = 167,805
  5. Step 5: Solve for x
    x = 167,805/678
  6. Step 6: Final answer
    x = 247.50

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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.