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Finding the Fourth Proportional to 250.90, 376.31 and 68.31

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Solution

The fourth proportional to 250.90, 376.31 and 68.31 is: 102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 376.31 = 68.31 : x
  2. Step 2: Convert to fraction form
    250.90/376.31 = 68.31/x
  3. Step 3: Cross multiply
    250.90x = 376.31 × 68.31
  4. Step 4: Simplify right side
    250.90x = 25,705.74
  5. Step 5: Solve for x
    x = 25,705.74/250.90
  6. Step 6: Final answer
    x = 102.45

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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.