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Finding the Fourth Proportional to 216.23, 298.31 and 133.29

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Solution

The fourth proportional to 216.23, 298.31 and 133.29 is: 183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.23 : 298.31 = 133.29 : x
  2. Step 2: Convert to fraction form
    216.23/298.31 = 133.29/x
  3. Step 3: Cross multiply
    216.23x = 298.31 × 133.29
  4. Step 4: Simplify right side
    216.23x = 39,761.07
  5. Step 5: Solve for x
    x = 39,761.07/216.23
  6. Step 6: Final answer
    x = 183.89

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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.