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Finding the Fourth Proportional to 224.15, 309.06 and 157.83

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Solution

The fourth proportional to 224.15, 309.06 and 157.83 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.15 : 309.06 = 157.83 : x
  2. Step 2: Convert to fraction form
    224.15/309.06 = 157.83/x
  3. Step 3: Cross multiply
    224.15x = 309.06 × 157.83
  4. Step 4: Simplify right side
    224.15x = 48,778.94
  5. Step 5: Solve for x
    x = 48,778.94/224.15
  6. Step 6: Final answer
    x = 217.62

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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.