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Finding the Fourth Proportional to 188.19, 257.58 and 182.79

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Solution

The fourth proportional to 188.19, 257.58 and 182.79 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 257.58 = 182.79 : x
  2. Step 2: Convert to fraction form
    188.19/257.58 = 182.79/x
  3. Step 3: Cross multiply
    188.19x = 257.58 × 182.79
  4. Step 4: Simplify right side
    188.19x = 47,083.05
  5. Step 5: Solve for x
    x = 47,083.05/188.19
  6. Step 6: Final answer
    x = 250.19

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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.