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Finding the Fourth Proportional to 203.50, 303.94 and 172.72

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Solution

The fourth proportional to 203.50, 303.94 and 172.72 is: 257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 303.94 = 172.72 : x
  2. Step 2: Convert to fraction form
    203.50/303.94 = 172.72/x
  3. Step 3: Cross multiply
    203.50x = 303.94 × 172.72
  4. Step 4: Simplify right side
    203.50x = 52,496.52
  5. Step 5: Solve for x
    x = 52,496.52/203.50
  6. Step 6: Final answer
    x = 257.97

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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.