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Finding the Fourth Proportional to 231.36, 346.97 and 128.51

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Solution

The fourth proportional to 231.36, 346.97 and 128.51 is: 192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 346.97 = 128.51 : x
  2. Step 2: Convert to fraction form
    231.36/346.97 = 128.51/x
  3. Step 3: Cross multiply
    231.36x = 346.97 × 128.51
  4. Step 4: Simplify right side
    231.36x = 44,586.74
  5. Step 5: Solve for x
    x = 44,586.74/231.36
  6. Step 6: Final answer
    x = 192.72

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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.