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Finding the Fourth Proportional to 229.06, 344.40 and 148.06

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Solution

The fourth proportional to 229.06, 344.40 and 148.06 is: 222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.06 : 344.40 = 148.06 : x
  2. Step 2: Convert to fraction form
    229.06/344.40 = 148.06/x
  3. Step 3: Cross multiply
    229.06x = 344.40 × 148.06
  4. Step 4: Simplify right side
    229.06x = 50,991.86
  5. Step 5: Solve for x
    x = 50,991.86/229.06
  6. Step 6: Final answer
    x = 222.61

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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.