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Finding the Fourth Proportional to 309.72, 464.38 and 104.22

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Solution

The fourth proportional to 309.72, 464.38 and 104.22 is: 156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 464.38 = 104.22 : x
  2. Step 2: Convert to fraction form
    309.72/464.38 = 104.22/x
  3. Step 3: Cross multiply
    309.72x = 464.38 × 104.22
  4. Step 4: Simplify right side
    309.72x = 48,397.68
  5. Step 5: Solve for x
    x = 48,397.68/309.72
  6. Step 6: Final answer
    x = 156.26

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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.