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Finding the Fourth Proportional to 193.67, 288.94 and 172.34

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Solution

The fourth proportional to 193.67, 288.94 and 172.34 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.67 : 288.94 = 172.34 : x
  2. Step 2: Convert to fraction form
    193.67/288.94 = 172.34/x
  3. Step 3: Cross multiply
    193.67x = 288.94 × 172.34
  4. Step 4: Simplify right side
    193.67x = 49,794.04
  5. Step 5: Solve for x
    x = 49,794.04/193.67
  6. Step 6: Final answer
    x = 257.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.