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Finding the Fourth Proportional to 213.09, 319.63 and 121.56

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Solution

The fourth proportional to 213.09, 319.63 and 121.56 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 319.63 = 121.56 : x
  2. Step 2: Convert to fraction form
    213.09/319.63 = 121.56/x
  3. Step 3: Cross multiply
    213.09x = 319.63 × 121.56
  4. Step 4: Simplify right side
    213.09x = 38,854.22
  5. Step 5: Solve for x
    x = 38,854.22/213.09
  6. Step 6: Final answer
    x = 182.34

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