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Finding the Fourth Proportional to 303.75, 419.07 and 179.42

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Solution

The fourth proportional to 303.75, 419.07 and 179.42 is: 247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.75 : 419.07 = 179.42 : x
  2. Step 2: Convert to fraction form
    303.75/419.07 = 179.42/x
  3. Step 3: Cross multiply
    303.75x = 419.07 × 179.42
  4. Step 4: Simplify right side
    303.75x = 75,188.12
  5. Step 5: Solve for x
    x = 75,188.12/303.75
  6. Step 6: Final answer
    x = 247.53

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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.