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Finding the Fourth Proportional to 227.68, 314.32 and 162.08

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Solution

The fourth proportional to 227.68, 314.32 and 162.08 is: 223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 314.32 = 162.08 : x
  2. Step 2: Convert to fraction form
    227.68/314.32 = 162.08/x
  3. Step 3: Cross multiply
    227.68x = 314.32 × 162.08
  4. Step 4: Simplify right side
    227.68x = 50,944.99
  5. Step 5: Solve for x
    x = 50,944.99/227.68
  6. Step 6: Final answer
    x = 223.76

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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.