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Finding the Fourth Proportional to 227.34, 313.20 and 157.14

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Solution

The fourth proportional to 227.34, 313.20 and 157.14 is: 216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.34 : 313.20 = 157.14 : x
  2. Step 2: Convert to fraction form
    227.34/313.20 = 157.14/x
  3. Step 3: Cross multiply
    227.34x = 313.20 × 157.14
  4. Step 4: Simplify right side
    227.34x = 49,216.25
  5. Step 5: Solve for x
    x = 49,216.25/227.34
  6. Step 6: Final answer
    x = 216.49

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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.