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Finding the Fourth Proportional to 211.97, 289.99 and 211.06

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Solution

The fourth proportional to 211.97, 289.99 and 211.06 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.97 : 289.99 = 211.06 : x
  2. Step 2: Convert to fraction form
    211.97/289.99 = 211.06/x
  3. Step 3: Cross multiply
    211.97x = 289.99 × 211.06
  4. Step 4: Simplify right side
    211.97x = 61,204.63
  5. Step 5: Solve for x
    x = 61,204.63/211.97
  6. Step 6: Final answer
    x = 288.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.