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Finding the Fourth Proportional to 303.09, 418.24 and 178.75

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Solution

The fourth proportional to 303.09, 418.24 and 178.75 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.09 : 418.24 = 178.75 : x
  2. Step 2: Convert to fraction form
    303.09/418.24 = 178.75/x
  3. Step 3: Cross multiply
    303.09x = 418.24 × 178.75
  4. Step 4: Simplify right side
    303.09x = 74,760.40
  5. Step 5: Solve for x
    x = 74,760.40/303.09
  6. Step 6: Final answer
    x = 246.66

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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.