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Finding the Fourth Proportional to 230.42, 345.36 and 222.86

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Solution

The fourth proportional to 230.42, 345.36 and 222.86 is: 334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 345.36 = 222.86 : x
  2. Step 2: Convert to fraction form
    230.42/345.36 = 222.86/x
  3. Step 3: Cross multiply
    230.42x = 345.36 × 222.86
  4. Step 4: Simplify right side
    230.42x = 76,966.93
  5. Step 5: Solve for x
    x = 76,966.93/230.42
  6. Step 6: Final answer
    x = 334.03

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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.