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Finding the Fourth Proportional to 188.96, 260.78 and 106.07

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Solution

The fourth proportional to 188.96, 260.78 and 106.07 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.96 : 260.78 = 106.07 : x
  2. Step 2: Convert to fraction form
    188.96/260.78 = 106.07/x
  3. Step 3: Cross multiply
    188.96x = 260.78 × 106.07
  4. Step 4: Simplify right side
    188.96x = 27,660.93
  5. Step 5: Solve for x
    x = 27,660.93/188.96
  6. Step 6: Final answer
    x = 146.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.