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Finding the Fourth Proportional to 343.14, 473.22 and 226.50

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Solution

The fourth proportional to 343.14, 473.22 and 226.50 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 473.22 = 226.50 : x
  2. Step 2: Convert to fraction form
    343.14/473.22 = 226.50/x
  3. Step 3: Cross multiply
    343.14x = 473.22 × 226.50
  4. Step 4: Simplify right side
    343.14x = 107,184.33
  5. Step 5: Solve for x
    x = 107,184.33/343.14
  6. Step 6: Final answer
    x = 312.36

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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.