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Finding the Fourth Proportional to 303.14, 418.31 and 185.06

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Solution

The fourth proportional to 303.14, 418.31 and 185.06 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 418.31 = 185.06 : x
  2. Step 2: Convert to fraction form
    303.14/418.31 = 185.06/x
  3. Step 3: Cross multiply
    303.14x = 418.31 × 185.06
  4. Step 4: Simplify right side
    303.14x = 77,411.57
  5. Step 5: Solve for x
    x = 77,411.57/303.14
  6. Step 6: Final answer
    x = 255.36

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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.