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Finding the Fourth Proportional to 304.52, 420.36 and 180.24

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Solution

The fourth proportional to 304.52, 420.36 and 180.24 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.52 : 420.36 = 180.24 : x
  2. Step 2: Convert to fraction form
    304.52/420.36 = 180.24/x
  3. Step 3: Cross multiply
    304.52x = 420.36 × 180.24
  4. Step 4: Simplify right side
    304.52x = 75,765.69
  5. Step 5: Solve for x
    x = 75,765.69/304.52
  6. Step 6: Final answer
    x = 248.80

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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.