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Finding the Fourth Proportional to 231.44, 346.86 and 128.54

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Solution

The fourth proportional to 231.44, 346.86 and 128.54 is: 192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 346.86 = 128.54 : x
  2. Step 2: Convert to fraction form
    231.44/346.86 = 128.54/x
  3. Step 3: Cross multiply
    231.44x = 346.86 × 128.54
  4. Step 4: Simplify right side
    231.44x = 44,583.65
  5. Step 5: Solve for x
    x = 44,583.65/231.44
  6. Step 6: Final answer
    x = 192.64

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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.