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Finding the Fourth Proportional to 309.82, 464.86 and 147.54

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Solution

The fourth proportional to 309.82, 464.86 and 147.54 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.82 : 464.86 = 147.54 : x
  2. Step 2: Convert to fraction form
    309.82/464.86 = 147.54/x
  3. Step 3: Cross multiply
    309.82x = 464.86 × 147.54
  4. Step 4: Simplify right side
    309.82x = 68,585.44
  5. Step 5: Solve for x
    x = 68,585.44/309.82
  6. Step 6: Final answer
    x = 221.37

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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.