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Finding the Fourth Proportional to 211.97, 292.58 and 133.33

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Solution

The fourth proportional to 211.97, 292.58 and 133.33 is: 184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.97 : 292.58 = 133.33 : x
  2. Step 2: Convert to fraction form
    211.97/292.58 = 133.33/x
  3. Step 3: Cross multiply
    211.97x = 292.58 × 133.33
  4. Step 4: Simplify right side
    211.97x = 39,009.69
  5. Step 5: Solve for x
    x = 39,009.69/211.97
  6. Step 6: Final answer
    x = 184.03

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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.