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Finding the Fourth Proportional to 189.36, 259.88 and 184.23

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Solution

The fourth proportional to 189.36, 259.88 and 184.23 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 259.88 = 184.23 : x
  2. Step 2: Convert to fraction form
    189.36/259.88 = 184.23/x
  3. Step 3: Cross multiply
    189.36x = 259.88 × 184.23
  4. Step 4: Simplify right side
    189.36x = 47,877.69
  5. Step 5: Solve for x
    x = 47,877.69/189.36
  6. Step 6: Final answer
    x = 252.85

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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.