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Finding the Fourth Proportional to 229.48, 344.42 and 148.34

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Solution

The fourth proportional to 229.48, 344.42 and 148.34 is: 222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 344.42 = 148.34 : x
  2. Step 2: Convert to fraction form
    229.48/344.42 = 148.34/x
  3. Step 3: Cross multiply
    229.48x = 344.42 × 148.34
  4. Step 4: Simplify right side
    229.48x = 51,091.26
  5. Step 5: Solve for x
    x = 51,091.26/229.48
  6. Step 6: Final answer
    x = 222.64

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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.