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Finding the Fourth Proportional to 188.79, 260.54 and 105.90

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Solution

The fourth proportional to 188.79, 260.54 and 105.90 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.79 : 260.54 = 105.90 : x
  2. Step 2: Convert to fraction form
    188.79/260.54 = 105.90/x
  3. Step 3: Cross multiply
    188.79x = 260.54 × 105.90
  4. Step 4: Simplify right side
    188.79x = 27,591.19
  5. Step 5: Solve for x
    x = 27,591.19/188.79
  6. Step 6: Final answer
    x = 146.15

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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.