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Finding the Fourth Proportional to 304.13, 419.64 and 179.78

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Solution

The fourth proportional to 304.13, 419.64 and 179.78 is: 248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 419.64 = 179.78 : x
  2. Step 2: Convert to fraction form
    304.13/419.64 = 179.78/x
  3. Step 3: Cross multiply
    304.13x = 419.64 × 179.78
  4. Step 4: Simplify right side
    304.13x = 75,442.88
  5. Step 5: Solve for x
    x = 75,442.88/304.13
  6. Step 6: Final answer
    x = 248.06

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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.