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Finding the Fourth Proportional to 304.72, 420.49 and 180.42

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Solution

The fourth proportional to 304.72, 420.49 and 180.42 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.72 : 420.49 = 180.42 : x
  2. Step 2: Convert to fraction form
    304.72/420.49 = 180.42/x
  3. Step 3: Cross multiply
    304.72x = 420.49 × 180.42
  4. Step 4: Simplify right side
    304.72x = 75,864.81
  5. Step 5: Solve for x
    x = 75,864.81/304.72
  6. Step 6: Final answer
    x = 248.97

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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.