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Finding the Fourth Proportional to 188.99, 260.79 and 106.13

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Solution

The fourth proportional to 188.99, 260.79 and 106.13 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.99 : 260.79 = 106.13 : x
  2. Step 2: Convert to fraction form
    188.99/260.79 = 106.13/x
  3. Step 3: Cross multiply
    188.99x = 260.79 × 106.13
  4. Step 4: Simplify right side
    188.99x = 27,675.94
  5. Step 5: Solve for x
    x = 27,675.94/188.99
  6. Step 6: Final answer
    x = 146.44

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