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Finding the Fourth Proportional to 304.50, 420.24 and 180.24

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Solution

The fourth proportional to 304.50, 420.24 and 180.24 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 420.24 = 180.24 : x
  2. Step 2: Convert to fraction form
    304.50/420.24 = 180.24/x
  3. Step 3: Cross multiply
    304.50x = 420.24 × 180.24
  4. Step 4: Simplify right side
    304.50x = 75,744.06
  5. Step 5: Solve for x
    x = 75,744.06/304.50
  6. Step 6: Final answer
    x = 248.75

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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.