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Finding the Fourth Proportional to 228.39, 314.31 and 222.04

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Solution

The fourth proportional to 228.39, 314.31 and 222.04 is: 305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.39 : 314.31 = 222.04 : x
  2. Step 2: Convert to fraction form
    228.39/314.31 = 222.04/x
  3. Step 3: Cross multiply
    228.39x = 314.31 × 222.04
  4. Step 4: Simplify right side
    228.39x = 69,789.39
  5. Step 5: Solve for x
    x = 69,789.39/228.39
  6. Step 6: Final answer
    x = 305.57

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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.