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Finding the Fourth Proportional to 250.77, 346.06 and 140.24

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Solution

The fourth proportional to 250.77, 346.06 and 140.24 is: 193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.77 : 346.06 = 140.24 : x
  2. Step 2: Convert to fraction form
    250.77/346.06 = 140.24/x
  3. Step 3: Cross multiply
    250.77x = 346.06 × 140.24
  4. Step 4: Simplify right side
    250.77x = 48,531.97
  5. Step 5: Solve for x
    x = 48,531.97/250.77
  6. Step 6: Final answer
    x = 193.53

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Why These Related Problems?

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