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Finding the Fourth Proportional to 309.10, 462.96 and 146.44

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Solution

The fourth proportional to 309.10, 462.96 and 146.44 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 462.96 = 146.44 : x
  2. Step 2: Convert to fraction form
    309.10/462.96 = 146.44/x
  3. Step 3: Cross multiply
    309.10x = 462.96 × 146.44
  4. Step 4: Simplify right side
    309.10x = 67,795.86
  5. Step 5: Solve for x
    x = 67,795.86/309.10
  6. Step 6: Final answer
    x = 219.33

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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.