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Finding the Fourth Proportional to 309.48, 464.22 and 147.12

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Solution

The fourth proportional to 309.48, 464.22 and 147.12 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 464.22 = 147.12 : x
  2. Step 2: Convert to fraction form
    309.48/464.22 = 147.12/x
  3. Step 3: Cross multiply
    309.48x = 464.22 × 147.12
  4. Step 4: Simplify right side
    309.48x = 68,296.05
  5. Step 5: Solve for x
    x = 68,296.05/309.48
  6. Step 6: Final answer
    x = 220.68

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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.