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Finding the Fourth Proportional to 227.76, 314.36 and 150.14

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Solution

The fourth proportional to 227.76, 314.36 and 150.14 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.76 : 314.36 = 150.14 : x
  2. Step 2: Convert to fraction form
    227.76/314.36 = 150.14/x
  3. Step 3: Cross multiply
    227.76x = 314.36 × 150.14
  4. Step 4: Simplify right side
    227.76x = 47,198.01
  5. Step 5: Solve for x
    x = 47,198.01/227.76
  6. Step 6: Final answer
    x = 207.23

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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.