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Finding the Fourth Proportional to 250.97, 346.32 and 140.45

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Solution

The fourth proportional to 250.97, 346.32 and 140.45 is: 193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.97 : 346.32 = 140.45 : x
  2. Step 2: Convert to fraction form
    250.97/346.32 = 140.45/x
  3. Step 3: Cross multiply
    250.97x = 346.32 × 140.45
  4. Step 4: Simplify right side
    250.97x = 48,638.91
  5. Step 5: Solve for x
    x = 48,638.91/250.97
  6. Step 6: Final answer
    x = 193.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.