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Finding the Fourth Proportional to 197.59, 294.94 and 172.09

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Solution

The fourth proportional to 197.59, 294.94 and 172.09 is: 256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 294.94 = 172.09 : x
  2. Step 2: Convert to fraction form
    197.59/294.94 = 172.09/x
  3. Step 3: Cross multiply
    197.59x = 294.94 × 172.09
  4. Step 4: Simplify right side
    197.59x = 50,756.22
  5. Step 5: Solve for x
    x = 50,756.22/197.59
  6. Step 6: Final answer
    x = 256.88

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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.