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Finding the Fourth Proportional to 624.50, 936.75 and 168.50

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Solution

The fourth proportional to 624.50, 936.75 and 168.50 is: 252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.50 : 936.75 = 168.50 : x
  2. Step 2: Convert to fraction form
    624.50/936.75 = 168.50/x
  3. Step 3: Cross multiply
    624.50x = 936.75 × 168.50
  4. Step 4: Simplify right side
    624.50x = 157,842.38
  5. Step 5: Solve for x
    x = 157,842.38/624.50
  6. Step 6: Final answer
    x = 252.75

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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.