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Finding the Fourth Proportional to 189.32, 260.90 and 142.52

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Solution

The fourth proportional to 189.32, 260.90 and 142.52 is: 196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 260.90 = 142.52 : x
  2. Step 2: Convert to fraction form
    189.32/260.90 = 142.52/x
  3. Step 3: Cross multiply
    189.32x = 260.90 × 142.52
  4. Step 4: Simplify right side
    189.32x = 37,183.47
  5. Step 5: Solve for x
    x = 37,183.47/189.32
  6. Step 6: Final answer
    x = 196.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.