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Finding the Fourth Proportional to 216.10, 298.23 and 166.89

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Solution

The fourth proportional to 216.10, 298.23 and 166.89 is: 230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.10 : 298.23 = 166.89 : x
  2. Step 2: Convert to fraction form
    216.10/298.23 = 166.89/x
  3. Step 3: Cross multiply
    216.10x = 298.23 × 166.89
  4. Step 4: Simplify right side
    216.10x = 49,771.60
  5. Step 5: Solve for x
    x = 49,771.60/216.10
  6. Step 6: Final answer
    x = 230.32

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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.