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Finding the Fourth Proportional to 309.23, 464.05 and 116.86

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Solution

The fourth proportional to 309.23, 464.05 and 116.86 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 464.05 = 116.86 : x
  2. Step 2: Convert to fraction form
    309.23/464.05 = 116.86/x
  3. Step 3: Cross multiply
    309.23x = 464.05 × 116.86
  4. Step 4: Simplify right side
    309.23x = 54,229.07
  5. Step 5: Solve for x
    x = 54,229.07/309.23
  6. Step 6: Final answer
    x = 175.37

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Why These Related Problems?

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