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Finding the Fourth Proportional to 229.10, 342.93 and 163.89

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Solution

The fourth proportional to 229.10, 342.93 and 163.89 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.10 : 342.93 = 163.89 : x
  2. Step 2: Convert to fraction form
    229.10/342.93 = 163.89/x
  3. Step 3: Cross multiply
    229.10x = 342.93 × 163.89
  4. Step 4: Simplify right side
    229.10x = 56,202.80
  5. Step 5: Solve for x
    x = 56,202.80/229.10
  6. Step 6: Final answer
    x = 245.32

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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.