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Finding the Fourth Proportional to 303.19, 418.41 and 165.19

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Solution

The fourth proportional to 303.19, 418.41 and 165.19 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.19 : 418.41 = 165.19 : x
  2. Step 2: Convert to fraction form
    303.19/418.41 = 165.19/x
  3. Step 3: Cross multiply
    303.19x = 418.41 × 165.19
  4. Step 4: Simplify right side
    303.19x = 69,116.32
  5. Step 5: Solve for x
    x = 69,116.32/303.19
  6. Step 6: Final answer
    x = 227.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.