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Finding the Fourth Proportional to 303.85, 419.19 and 179.46

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Solution

The fourth proportional to 303.85, 419.19 and 179.46 is: 247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.85 : 419.19 = 179.46 : x
  2. Step 2: Convert to fraction form
    303.85/419.19 = 179.46/x
  3. Step 3: Cross multiply
    303.85x = 419.19 × 179.46
  4. Step 4: Simplify right side
    303.85x = 75,227.16
  5. Step 5: Solve for x
    x = 75,227.16/303.85
  6. Step 6: Final answer
    x = 247.58

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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.