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Finding the Fourth Proportional to 216.22, 298.49 and 146.64

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Solution

The fourth proportional to 216.22, 298.49 and 146.64 is: 202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.22 : 298.49 = 146.64 : x
  2. Step 2: Convert to fraction form
    216.22/298.49 = 146.64/x
  3. Step 3: Cross multiply
    216.22x = 298.49 × 146.64
  4. Step 4: Simplify right side
    216.22x = 43,770.57
  5. Step 5: Solve for x
    x = 43,770.57/216.22
  6. Step 6: Final answer
    x = 202.44

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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.