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Finding the Fourth Proportional to 228.21, 342.78 and 222.13

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Solution

The fourth proportional to 228.21, 342.78 and 222.13 is: 333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.21 : 342.78 = 222.13 : x
  2. Step 2: Convert to fraction form
    228.21/342.78 = 222.13/x
  3. Step 3: Cross multiply
    228.21x = 342.78 × 222.13
  4. Step 4: Simplify right side
    228.21x = 76,141.72
  5. Step 5: Solve for x
    x = 76,141.72/228.21
  6. Step 6: Final answer
    x = 333.65

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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.