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Finding the Fourth Proportional to 304.43, 420.12 and 180.12

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Solution

The fourth proportional to 304.43, 420.12 and 180.12 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.43 : 420.12 = 180.12 : x
  2. Step 2: Convert to fraction form
    304.43/420.12 = 180.12/x
  3. Step 3: Cross multiply
    304.43x = 420.12 × 180.12
  4. Step 4: Simplify right side
    304.43x = 75,672.01
  5. Step 5: Solve for x
    x = 75,672.01/304.43
  6. Step 6: Final answer
    x = 248.57

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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.