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Finding the Fourth Proportional to 189.01, 260.85 and 142.30

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Solution

The fourth proportional to 189.01, 260.85 and 142.30 is: 196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.01 : 260.85 = 142.30 : x
  2. Step 2: Convert to fraction form
    189.01/260.85 = 142.30/x
  3. Step 3: Cross multiply
    189.01x = 260.85 × 142.30
  4. Step 4: Simplify right side
    189.01x = 37,119.58
  5. Step 5: Solve for x
    x = 37,119.58/189.01
  6. Step 6: Final answer
    x = 196.39

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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.