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Finding the Fourth Proportional to 228.45, 343.35 and 226.02

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Solution

The fourth proportional to 228.45, 343.35 and 226.02 is: 339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.45 : 343.35 = 226.02 : x
  2. Step 2: Convert to fraction form
    228.45/343.35 = 226.02/x
  3. Step 3: Cross multiply
    228.45x = 343.35 × 226.02
  4. Step 4: Simplify right side
    228.45x = 77,603.97
  5. Step 5: Solve for x
    x = 77,603.97/228.45
  6. Step 6: Final answer
    x = 339.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.