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Finding the Fourth Proportional to 188.34, 280.91 and 182.56

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Solution

The fourth proportional to 188.34, 280.91 and 182.56 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.34 : 280.91 = 182.56 : x
  2. Step 2: Convert to fraction form
    188.34/280.91 = 182.56/x
  3. Step 3: Cross multiply
    188.34x = 280.91 × 182.56
  4. Step 4: Simplify right side
    188.34x = 51,282.93
  5. Step 5: Solve for x
    x = 51,282.93/188.34
  6. Step 6: Final answer
    x = 272.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.