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Finding the Fourth Proportional to 309.90, 427.68 and 222.96

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Solution

The fourth proportional to 309.90, 427.68 and 222.96 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.90 : 427.68 = 222.96 : x
  2. Step 2: Convert to fraction form
    309.90/427.68 = 222.96/x
  3. Step 3: Cross multiply
    309.90x = 427.68 × 222.96
  4. Step 4: Simplify right side
    309.90x = 95,355.53
  5. Step 5: Solve for x
    x = 95,355.53/309.90
  6. Step 6: Final answer
    x = 307.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.