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Finding the Fourth Proportional to 303.58, 419.04 and 179.27

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Solution

The fourth proportional to 303.58, 419.04 and 179.27 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.58 : 419.04 = 179.27 : x
  2. Step 2: Convert to fraction form
    303.58/419.04 = 179.27/x
  3. Step 3: Cross multiply
    303.58x = 419.04 × 179.27
  4. Step 4: Simplify right side
    303.58x = 75,121.30
  5. Step 5: Solve for x
    x = 75,121.30/303.58
  6. Step 6: Final answer
    x = 247.46

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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.