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Finding the Fourth Proportional to 229.16, 343.22 and 163.89

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Solution

The fourth proportional to 229.16, 343.22 and 163.89 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 343.22 = 163.89 : x
  2. Step 2: Convert to fraction form
    229.16/343.22 = 163.89/x
  3. Step 3: Cross multiply
    229.16x = 343.22 × 163.89
  4. Step 4: Simplify right side
    229.16x = 56,249.51
  5. Step 5: Solve for x
    x = 56,249.51/229.16
  6. Step 6: Final answer
    x = 245.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.