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Finding the Fourth Proportional to 304.56, 420.32 and 180.26

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Solution

The fourth proportional to 304.56, 420.32 and 180.26 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 420.32 = 180.26 : x
  2. Step 2: Convert to fraction form
    304.56/420.32 = 180.26/x
  3. Step 3: Cross multiply
    304.56x = 420.32 × 180.26
  4. Step 4: Simplify right side
    304.56x = 75,766.81
  5. Step 5: Solve for x
    x = 75,766.81/304.56
  6. Step 6: Final answer
    x = 248.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.