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Finding the Fourth Proportional to 303.13, 418.31 and 165.13

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Solution

The fourth proportional to 303.13, 418.31 and 165.13 is: 227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.13 : 418.31 = 165.13 : x
  2. Step 2: Convert to fraction form
    303.13/418.31 = 165.13/x
  3. Step 3: Cross multiply
    303.13x = 418.31 × 165.13
  4. Step 4: Simplify right side
    303.13x = 69,075.53
  5. Step 5: Solve for x
    x = 69,075.53/303.13
  6. Step 6: Final answer
    x = 227.87

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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.