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Finding the Fourth Proportional to 250.74, 346.03 and 140.21

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Solution

The fourth proportional to 250.74, 346.03 and 140.21 is: 193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 346.03 = 140.21 : x
  2. Step 2: Convert to fraction form
    250.74/346.03 = 140.21/x
  3. Step 3: Cross multiply
    250.74x = 346.03 × 140.21
  4. Step 4: Simplify right side
    250.74x = 48,516.87
  5. Step 5: Solve for x
    x = 48,516.87/250.74
  6. Step 6: Final answer
    x = 193.49

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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.