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Finding the Fourth Proportional to 189.36, 260.04 and 169.92

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Solution

The fourth proportional to 189.36, 260.04 and 169.92 is: 233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 260.04 = 169.92 : x
  2. Step 2: Convert to fraction form
    189.36/260.04 = 169.92/x
  3. Step 3: Cross multiply
    189.36x = 260.04 × 169.92
  4. Step 4: Simplify right side
    189.36x = 44,186.00
  5. Step 5: Solve for x
    x = 44,186.00/189.36
  6. Step 6: Final answer
    x = 233.34

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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.