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Finding the Fourth Proportional to 227.60, 314.16 and 162.12

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Solution

The fourth proportional to 227.60, 314.16 and 162.12 is: 223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 314.16 = 162.12 : x
  2. Step 2: Convert to fraction form
    227.60/314.16 = 162.12/x
  3. Step 3: Cross multiply
    227.60x = 314.16 × 162.12
  4. Step 4: Simplify right side
    227.60x = 50,931.62
  5. Step 5: Solve for x
    x = 50,931.62/227.60
  6. Step 6: Final answer
    x = 223.78

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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.