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Finding the Fourth Proportional to 303.78, 419.24 and 172.78

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Solution

The fourth proportional to 303.78, 419.24 and 172.78 is: 238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.78 : 419.24 = 172.78 : x
  2. Step 2: Convert to fraction form
    303.78/419.24 = 172.78/x
  3. Step 3: Cross multiply
    303.78x = 419.24 × 172.78
  4. Step 4: Simplify right side
    303.78x = 72,436.29
  5. Step 5: Solve for x
    x = 72,436.29/303.78
  6. Step 6: Final answer
    x = 238.45

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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.