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Finding the Fourth Proportional to 216.21, 298.27 and 157.05

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Solution

The fourth proportional to 216.21, 298.27 and 157.05 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 298.27 = 157.05 : x
  2. Step 2: Convert to fraction form
    216.21/298.27 = 157.05/x
  3. Step 3: Cross multiply
    216.21x = 298.27 × 157.05
  4. Step 4: Simplify right side
    216.21x = 46,843.70
  5. Step 5: Solve for x
    x = 46,843.70/216.21
  6. Step 6: Final answer
    x = 216.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.