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Finding the Fourth Proportional to 188.67, 260.28 and 111

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Solution

The fourth proportional to 188.67, 260.28 and 111 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.67 : 260.28 = 111 : x
  2. Step 2: Convert to fraction form
    188.67/260.28 = 111/x
  3. Step 3: Cross multiply
    188.67x = 260.28 × 111
  4. Step 4: Simplify right side
    188.67x = 28,891.08
  5. Step 5: Solve for x
    x = 28,891.08/188.67
  6. Step 6: Final answer
    x = 153.13

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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.