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Finding the Fourth Proportional to 303.85, 419.31 and 172.83

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Solution

The fourth proportional to 303.85, 419.31 and 172.83 is: 238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.85 : 419.31 = 172.83 : x
  2. Step 2: Convert to fraction form
    303.85/419.31 = 172.83/x
  3. Step 3: Cross multiply
    303.85x = 419.31 × 172.83
  4. Step 4: Simplify right side
    303.85x = 72,468.56
  5. Step 5: Solve for x
    x = 72,468.56/303.85
  6. Step 6: Final answer
    x = 238.50

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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.