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Finding the Fourth Proportional to 304.86, 420.86 and 180.56

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Solution

The fourth proportional to 304.86, 420.86 and 180.56 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 420.86 = 180.56 : x
  2. Step 2: Convert to fraction form
    304.86/420.86 = 180.56/x
  3. Step 3: Cross multiply
    304.86x = 420.86 × 180.56
  4. Step 4: Simplify right side
    304.86x = 75,987.47
  5. Step 5: Solve for x
    x = 75,987.47/304.86
  6. Step 6: Final answer
    x = 249.25

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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.