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Finding the Fourth Proportional to 188.24, 260.97 and 181.55

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Solution

The fourth proportional to 188.24, 260.97 and 181.55 is: 251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 260.97 = 181.55 : x
  2. Step 2: Convert to fraction form
    188.24/260.97 = 181.55/x
  3. Step 3: Cross multiply
    188.24x = 260.97 × 181.55
  4. Step 4: Simplify right side
    188.24x = 47,379.08
  5. Step 5: Solve for x
    x = 47,379.08/188.24
  6. Step 6: Final answer
    x = 251.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.