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Finding the Fourth Proportional to 211.97, 292.46 and 133.37

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Solution

The fourth proportional to 211.97, 292.46 and 133.37 is: 184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.97 : 292.46 = 133.37 : x
  2. Step 2: Convert to fraction form
    211.97/292.46 = 133.37/x
  3. Step 3: Cross multiply
    211.97x = 292.46 × 133.37
  4. Step 4: Simplify right side
    211.97x = 39,004.06
  5. Step 5: Solve for x
    x = 39,004.06/211.97
  6. Step 6: Final answer
    x = 184.01

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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.