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Finding the Fourth Proportional to 216.93, 299.80 and 161.65

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Solution

The fourth proportional to 216.93, 299.80 and 161.65 is: 223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.93 : 299.80 = 161.65 : x
  2. Step 2: Convert to fraction form
    216.93/299.80 = 161.65/x
  3. Step 3: Cross multiply
    216.93x = 299.80 × 161.65
  4. Step 4: Simplify right side
    216.93x = 48,461.56
  5. Step 5: Solve for x
    x = 48,461.56/216.93
  6. Step 6: Final answer
    x = 223.40

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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.