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Finding the Fourth Proportional to 341.81, 511.49 and 226.08

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Solution

The fourth proportional to 341.81, 511.49 and 226.08 is: 338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.81 : 511.49 = 226.08 : x
  2. Step 2: Convert to fraction form
    341.81/511.49 = 226.08/x
  3. Step 3: Cross multiply
    341.81x = 511.49 × 226.08
  4. Step 4: Simplify right side
    341.81x = 115,637.66
  5. Step 5: Solve for x
    x = 115,637.66/341.81
  6. Step 6: Final answer
    x = 338.31

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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.