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Finding the Fourth Proportional to 216.17, 298.46 and 157.85

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Solution

The fourth proportional to 216.17, 298.46 and 157.85 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 298.46 = 157.85 : x
  2. Step 2: Convert to fraction form
    216.17/298.46 = 157.85/x
  3. Step 3: Cross multiply
    216.17x = 298.46 × 157.85
  4. Step 4: Simplify right side
    216.17x = 47,111.12
  5. Step 5: Solve for x
    x = 47,111.12/216.17
  6. Step 6: Final answer
    x = 217.94

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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.