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Finding the Fourth Proportional to 211.95, 290.91 and 193.41

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Solution

The fourth proportional to 211.95, 290.91 and 193.41 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.95 : 290.91 = 193.41 : x
  2. Step 2: Convert to fraction form
    211.95/290.91 = 193.41/x
  3. Step 3: Cross multiply
    211.95x = 290.91 × 193.41
  4. Step 4: Simplify right side
    211.95x = 56,264.90
  5. Step 5: Solve for x
    x = 56,264.90/211.95
  6. Step 6: Final answer
    x = 265.46

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Why These Related Problems?

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