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Finding the Fourth Proportional to 309.56, 427.30 and 222.49

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Solution

The fourth proportional to 309.56, 427.30 and 222.49 is: 307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 427.30 = 222.49 : x
  2. Step 2: Convert to fraction form
    309.56/427.30 = 222.49/x
  3. Step 3: Cross multiply
    309.56x = 427.30 × 222.49
  4. Step 4: Simplify right side
    309.56x = 95,068.35
  5. Step 5: Solve for x
    x = 95,068.35/309.56
  6. Step 6: Final answer
    x = 307.11

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