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Finding the Fourth Proportional to 189.36, 259.44 and 186.96

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Solution

The fourth proportional to 189.36, 259.44 and 186.96 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 259.44 = 186.96 : x
  2. Step 2: Convert to fraction form
    189.36/259.44 = 186.96/x
  3. Step 3: Cross multiply
    189.36x = 259.44 × 186.96
  4. Step 4: Simplify right side
    189.36x = 48,504.90
  5. Step 5: Solve for x
    x = 48,504.90/189.36
  6. Step 6: Final answer
    x = 256.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.