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Finding the Fourth Proportional to 188.89, 260.67 and 106.00

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Solution

The fourth proportional to 188.89, 260.67 and 106.00 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.89 : 260.67 = 106.00 : x
  2. Step 2: Convert to fraction form
    188.89/260.67 = 106.00/x
  3. Step 3: Cross multiply
    188.89x = 260.67 × 106.00
  4. Step 4: Simplify right side
    188.89x = 27,629.58
  5. Step 5: Solve for x
    x = 27,629.58/188.89
  6. Step 6: Final answer
    x = 146.27

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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.