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Finding the Fourth Proportional to 304.39, 456.51 and 121.73

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Solution

The fourth proportional to 304.39, 456.51 and 121.73 is: 182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.39 : 456.51 = 121.73 : x
  2. Step 2: Convert to fraction form
    304.39/456.51 = 121.73/x
  3. Step 3: Cross multiply
    304.39x = 456.51 × 121.73
  4. Step 4: Simplify right side
    304.39x = 55,570.96
  5. Step 5: Solve for x
    x = 55,570.96/304.39
  6. Step 6: Final answer
    x = 182.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.