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Finding the Fourth Proportional to 343.19, 473.10 and 226.55

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Solution

The fourth proportional to 343.19, 473.10 and 226.55 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 473.10 = 226.55 : x
  2. Step 2: Convert to fraction form
    343.19/473.10 = 226.55/x
  3. Step 3: Cross multiply
    343.19x = 473.10 × 226.55
  4. Step 4: Simplify right side
    343.19x = 107,178.44
  5. Step 5: Solve for x
    x = 107,178.44/343.19
  6. Step 6: Final answer
    x = 312.31

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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.