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Finding the Fourth Proportional to 303.89, 419.41 and 172.92

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Solution

The fourth proportional to 303.89, 419.41 and 172.92 is: 238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.89 : 419.41 = 172.92 : x
  2. Step 2: Convert to fraction form
    303.89/419.41 = 172.92/x
  3. Step 3: Cross multiply
    303.89x = 419.41 × 172.92
  4. Step 4: Simplify right side
    303.89x = 72,523.51
  5. Step 5: Solve for x
    x = 72,523.51/303.89
  6. Step 6: Final answer
    x = 238.65

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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.