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Finding the Fourth Proportional to 309.38, 464.17 and 165.06

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Solution

The fourth proportional to 309.38, 464.17 and 165.06 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.38 : 464.17 = 165.06 : x
  2. Step 2: Convert to fraction form
    309.38/464.17 = 165.06/x
  3. Step 3: Cross multiply
    309.38x = 464.17 × 165.06
  4. Step 4: Simplify right side
    309.38x = 76,616.65
  5. Step 5: Solve for x
    x = 76,616.65/309.38
  6. Step 6: Final answer
    x = 247.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.