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Finding the Fourth Proportional to 303.22, 418.53 and 172.27

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Solution

The fourth proportional to 303.22, 418.53 and 172.27 is: 237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.22 : 418.53 = 172.27 : x
  2. Step 2: Convert to fraction form
    303.22/418.53 = 172.27/x
  3. Step 3: Cross multiply
    303.22x = 418.53 × 172.27
  4. Step 4: Simplify right side
    303.22x = 72,100.16
  5. Step 5: Solve for x
    x = 72,100.16/303.22
  6. Step 6: Final answer
    x = 237.78

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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.