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Finding the Fourth Proportional to 188.43, 258.34 and 188.12

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Solution

The fourth proportional to 188.43, 258.34 and 188.12 is: 257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.43 : 258.34 = 188.12 : x
  2. Step 2: Convert to fraction form
    188.43/258.34 = 188.12/x
  3. Step 3: Cross multiply
    188.43x = 258.34 × 188.12
  4. Step 4: Simplify right side
    188.43x = 48,599.45
  5. Step 5: Solve for x
    x = 48,599.45/188.43
  6. Step 6: Final answer
    x = 257.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.