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Finding the Fourth Proportional to 238.70, 357.68 and 222.32

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Solution

The fourth proportional to 238.70, 357.68 and 222.32 is: 333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 357.68 = 222.32 : x
  2. Step 2: Convert to fraction form
    238.70/357.68 = 222.32/x
  3. Step 3: Cross multiply
    238.70x = 357.68 × 222.32
  4. Step 4: Simplify right side
    238.70x = 79,518.18
  5. Step 5: Solve for x
    x = 79,518.18/238.70
  6. Step 6: Final answer
    x = 333.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.