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Finding the Fourth Proportional to 303.35, 418.64 and 185.31

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Solution

The fourth proportional to 303.35, 418.64 and 185.31 is: 255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.35 : 418.64 = 185.31 : x
  2. Step 2: Convert to fraction form
    303.35/418.64 = 185.31/x
  3. Step 3: Cross multiply
    303.35x = 418.64 × 185.31
  4. Step 4: Simplify right side
    303.35x = 77,578.18
  5. Step 5: Solve for x
    x = 77,578.18/303.35
  6. Step 6: Final answer
    x = 255.74

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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.