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Finding the Fourth Proportional to 211.06, 290.82 and 205.12

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Solution

The fourth proportional to 211.06, 290.82 and 205.12 is: 282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 290.82 = 205.12 : x
  2. Step 2: Convert to fraction form
    211.06/290.82 = 205.12/x
  3. Step 3: Cross multiply
    211.06x = 290.82 × 205.12
  4. Step 4: Simplify right side
    211.06x = 59,653.00
  5. Step 5: Solve for x
    x = 59,653.00/211.06
  6. Step 6: Final answer
    x = 282.64

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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.