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Finding the Fourth Proportional to 303.24, 418.43 and 177.19

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Solution

The fourth proportional to 303.24, 418.43 and 177.19 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 418.43 = 177.19 : x
  2. Step 2: Convert to fraction form
    303.24/418.43 = 177.19/x
  3. Step 3: Cross multiply
    303.24x = 418.43 × 177.19
  4. Step 4: Simplify right side
    303.24x = 74,141.01
  5. Step 5: Solve for x
    x = 74,141.01/303.24
  6. Step 6: Final answer
    x = 244.49

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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.