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Finding the Fourth Proportional to 188.69, 260.85 and 142.16

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Solution

The fourth proportional to 188.69, 260.85 and 142.16 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.69 : 260.85 = 142.16 : x
  2. Step 2: Convert to fraction form
    188.69/260.85 = 142.16/x
  3. Step 3: Cross multiply
    188.69x = 260.85 × 142.16
  4. Step 4: Simplify right side
    188.69x = 37,080.47
  5. Step 5: Solve for x
    x = 37,080.47/188.69
  6. Step 6: Final answer
    x = 196.52

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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.