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Finding the Fourth Proportional to 189.12, 262.24 and 185.60

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Solution

The fourth proportional to 189.12, 262.24 and 185.60 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 262.24 = 185.60 : x
  2. Step 2: Convert to fraction form
    189.12/262.24 = 185.60/x
  3. Step 3: Cross multiply
    189.12x = 262.24 × 185.60
  4. Step 4: Simplify right side
    189.12x = 48,671.74
  5. Step 5: Solve for x
    x = 48,671.74/189.12
  6. Step 6: Final answer
    x = 257.36

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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.