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Finding the Fourth Proportional to 211.26, 291 and 199.50

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Solution

The fourth proportional to 211.26, 291 and 199.50 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.26 : 291 = 199.50 : x
  2. Step 2: Convert to fraction form
    211.26/291 = 199.50/x
  3. Step 3: Cross multiply
    211.26x = 291 × 199.50
  4. Step 4: Simplify right side
    211.26x = 58,054.50
  5. Step 5: Solve for x
    x = 58,054.50/211.26
  6. Step 6: Final answer
    x = 274.80

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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.