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Finding the Fourth Proportional to 342.88, 473.26 and 226.36

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Solution

The fourth proportional to 342.88, 473.26 and 226.36 is: 312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.88 : 473.26 = 226.36 : x
  2. Step 2: Convert to fraction form
    342.88/473.26 = 226.36/x
  3. Step 3: Cross multiply
    342.88x = 473.26 × 226.36
  4. Step 4: Simplify right side
    342.88x = 107,127.13
  5. Step 5: Solve for x
    x = 107,127.13/342.88
  6. Step 6: Final answer
    x = 312.43

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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.