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Finding the Fourth Proportional to 189.44, 260.04 and 174.86

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Solution

The fourth proportional to 189.44, 260.04 and 174.86 is: 240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.44 : 260.04 = 174.86 : x
  2. Step 2: Convert to fraction form
    189.44/260.04 = 174.86/x
  3. Step 3: Cross multiply
    189.44x = 260.04 × 174.86
  4. Step 4: Simplify right side
    189.44x = 45,470.59
  5. Step 5: Solve for x
    x = 45,470.59/189.44
  6. Step 6: Final answer
    x = 240.03

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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.