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Finding the Fourth Proportional to 227.70, 314.18 and 157.64

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Solution

The fourth proportional to 227.70, 314.18 and 157.64 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 314.18 = 157.64 : x
  2. Step 2: Convert to fraction form
    227.70/314.18 = 157.64/x
  3. Step 3: Cross multiply
    227.70x = 314.18 × 157.64
  4. Step 4: Simplify right side
    227.70x = 49,526.55
  5. Step 5: Solve for x
    x = 49,526.55/227.70
  6. Step 6: Final answer
    x = 217.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.