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Finding the Fourth Proportional to 304.95, 420.82 and 180.68

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Solution

The fourth proportional to 304.95, 420.82 and 180.68 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 420.82 = 180.68 : x
  2. Step 2: Convert to fraction form
    304.95/420.82 = 180.68/x
  3. Step 3: Cross multiply
    304.95x = 420.82 × 180.68
  4. Step 4: Simplify right side
    304.95x = 76,033.76
  5. Step 5: Solve for x
    x = 76,033.76/304.95
  6. Step 6: Final answer
    x = 249.33

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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.