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Finding the Fourth Proportional to 188.77, 260.67 and 178.54

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Solution

The fourth proportional to 188.77, 260.67 and 178.54 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.77 : 260.67 = 178.54 : x
  2. Step 2: Convert to fraction form
    188.77/260.67 = 178.54/x
  3. Step 3: Cross multiply
    188.77x = 260.67 × 178.54
  4. Step 4: Simplify right side
    188.77x = 46,540.02
  5. Step 5: Solve for x
    x = 46,540.02/188.77
  6. Step 6: Final answer
    x = 246.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.