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Finding the Fourth Proportional to 229.37, 344.04 and 148.26

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Solution

The fourth proportional to 229.37, 344.04 and 148.26 is: 222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.37 : 344.04 = 148.26 : x
  2. Step 2: Convert to fraction form
    229.37/344.04 = 148.26/x
  3. Step 3: Cross multiply
    229.37x = 344.04 × 148.26
  4. Step 4: Simplify right side
    229.37x = 51,007.37
  5. Step 5: Solve for x
    x = 51,007.37/229.37
  6. Step 6: Final answer
    x = 222.39

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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.