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Finding the Fourth Proportional to 189.12, 260.94 and 142.53

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Solution

The fourth proportional to 189.12, 260.94 and 142.53 is: 196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 260.94 = 142.53 : x
  2. Step 2: Convert to fraction form
    189.12/260.94 = 142.53/x
  3. Step 3: Cross multiply
    189.12x = 260.94 × 142.53
  4. Step 4: Simplify right side
    189.12x = 37,191.78
  5. Step 5: Solve for x
    x = 37,191.78/189.12
  6. Step 6: Final answer
    x = 196.66

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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.