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Finding the Fourth Proportional to 303.94, 419.41 and 172.92

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Solution

The fourth proportional to 303.94, 419.41 and 172.92 is: 238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.94 : 419.41 = 172.92 : x
  2. Step 2: Convert to fraction form
    303.94/419.41 = 172.92/x
  3. Step 3: Cross multiply
    303.94x = 419.41 × 172.92
  4. Step 4: Simplify right side
    303.94x = 72,524.38
  5. Step 5: Solve for x
    x = 72,524.38/303.94
  6. Step 6: Final answer
    x = 238.61

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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.