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Finding the Fourth Proportional to 250.02, 344.94 and 197.58

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Solution

The fourth proportional to 250.02, 344.94 and 197.58 is: 272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 344.94 = 197.58 : x
  2. Step 2: Convert to fraction form
    250.02/344.94 = 197.58/x
  3. Step 3: Cross multiply
    250.02x = 344.94 × 197.58
  4. Step 4: Simplify right side
    250.02x = 68,153.25
  5. Step 5: Solve for x
    x = 68,153.25/250.02
  6. Step 6: Final answer
    x = 272.59

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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.