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Finding the Fourth Proportional to 303.36, 418.67 and 172.36

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Solution

The fourth proportional to 303.36, 418.67 and 172.36 is: 237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 418.67 = 172.36 : x
  2. Step 2: Convert to fraction form
    303.36/418.67 = 172.36/x
  3. Step 3: Cross multiply
    303.36x = 418.67 × 172.36
  4. Step 4: Simplify right side
    303.36x = 72,160.05
  5. Step 5: Solve for x
    x = 72,160.05/303.36
  6. Step 6: Final answer
    x = 237.87

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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.