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Finding the Fourth Proportional to 211.97, 317.77 and 83.63

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Solution

The fourth proportional to 211.97, 317.77 and 83.63 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.97 : 317.77 = 83.63 : x
  2. Step 2: Convert to fraction form
    211.97/317.77 = 83.63/x
  3. Step 3: Cross multiply
    211.97x = 317.77 × 83.63
  4. Step 4: Simplify right side
    211.97x = 26,573.31
  5. Step 5: Solve for x
    x = 26,573.31/211.97
  6. Step 6: Final answer
    x = 125.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.