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Finding the Fourth Proportional to 304.92, 420.84 and 180.57

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Solution

The fourth proportional to 304.92, 420.84 and 180.57 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 420.84 = 180.57 : x
  2. Step 2: Convert to fraction form
    304.92/420.84 = 180.57/x
  3. Step 3: Cross multiply
    304.92x = 420.84 × 180.57
  4. Step 4: Simplify right side
    304.92x = 75,991.08
  5. Step 5: Solve for x
    x = 75,991.08/304.92
  6. Step 6: Final answer
    x = 249.22

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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.