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Finding the Fourth Proportional to 188.72, 260.46 and 105.83

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Solution

The fourth proportional to 188.72, 260.46 and 105.83 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.72 : 260.46 = 105.83 : x
  2. Step 2: Convert to fraction form
    188.72/260.46 = 105.83/x
  3. Step 3: Cross multiply
    188.72x = 260.46 × 105.83
  4. Step 4: Simplify right side
    188.72x = 27,564.48
  5. Step 5: Solve for x
    x = 27,564.48/188.72
  6. Step 6: Final answer
    x = 146.06

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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.