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Finding the Fourth Proportional to 223.46, 308.20 and 157.86

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Solution

The fourth proportional to 223.46, 308.20 and 157.86 is: 217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.46 : 308.20 = 157.86 : x
  2. Step 2: Convert to fraction form
    223.46/308.20 = 157.86/x
  3. Step 3: Cross multiply
    223.46x = 308.20 × 157.86
  4. Step 4: Simplify right side
    223.46x = 48,652.45
  5. Step 5: Solve for x
    x = 48,652.45/223.46
  6. Step 6: Final answer
    x = 217.72

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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.