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Finding the Fourth Proportional to 216.30, 298.23 and 157.98

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Solution

The fourth proportional to 216.30, 298.23 and 157.98 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 298.23 = 157.98 : x
  2. Step 2: Convert to fraction form
    216.30/298.23 = 157.98/x
  3. Step 3: Cross multiply
    216.30x = 298.23 × 157.98
  4. Step 4: Simplify right side
    216.30x = 47,115.79
  5. Step 5: Solve for x
    x = 47,115.79/216.30
  6. Step 6: Final answer
    x = 217.82

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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.