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Finding the Fourth Proportional to 193.93, 290.02 and 172.39

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Solution

The fourth proportional to 193.93, 290.02 and 172.39 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.93 : 290.02 = 172.39 : x
  2. Step 2: Convert to fraction form
    193.93/290.02 = 172.39/x
  3. Step 3: Cross multiply
    193.93x = 290.02 × 172.39
  4. Step 4: Simplify right side
    193.93x = 49,996.55
  5. Step 5: Solve for x
    x = 49,996.55/193.93
  6. Step 6: Final answer
    x = 257.81

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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.