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Finding the Fourth Proportional to 211.06, 291.58 and 201.06

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Solution

The fourth proportional to 211.06, 291.58 and 201.06 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 291.58 = 201.06 : x
  2. Step 2: Convert to fraction form
    211.06/291.58 = 201.06/x
  3. Step 3: Cross multiply
    211.06x = 291.58 × 201.06
  4. Step 4: Simplify right side
    211.06x = 58,625.07
  5. Step 5: Solve for x
    x = 58,625.07/211.06
  6. Step 6: Final answer
    x = 277.76

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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.