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Finding the Fourth Proportional to 341.11, 511.97 and 211.36

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Solution

The fourth proportional to 341.11, 511.97 and 211.36 is: 317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.11 : 511.97 = 211.36 : x
  2. Step 2: Convert to fraction form
    341.11/511.97 = 211.36/x
  3. Step 3: Cross multiply
    341.11x = 511.97 × 211.36
  4. Step 4: Simplify right side
    341.11x = 108,209.23
  5. Step 5: Solve for x
    x = 108,209.23/341.11
  6. Step 6: Final answer
    x = 317.23

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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.