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Finding the Fourth Proportional to 228.07, 340.25 and 222.76

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Solution

The fourth proportional to 228.07, 340.25 and 222.76 is: 332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.07 : 340.25 = 222.76 : x
  2. Step 2: Convert to fraction form
    228.07/340.25 = 222.76/x
  3. Step 3: Cross multiply
    228.07x = 340.25 × 222.76
  4. Step 4: Simplify right side
    228.07x = 75,794.09
  5. Step 5: Solve for x
    x = 75,794.09/228.07
  6. Step 6: Final answer
    x = 332.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.