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Finding the Fourth Proportional to 304.30, 419.92 and 180

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Solution

The fourth proportional to 304.30, 419.92 and 180 is: 248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.30 : 419.92 = 180 : x
  2. Step 2: Convert to fraction form
    304.30/419.92 = 180/x
  3. Step 3: Cross multiply
    304.30x = 419.92 × 180
  4. Step 4: Simplify right side
    304.30x = 75,585.15
  5. Step 5: Solve for x
    x = 75,585.15/304.30
  6. Step 6: Final answer
    x = 248.39

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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.