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Finding the Fourth Proportional to 189, 260.76 and 114.34

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Solution

The fourth proportional to 189, 260.76 and 114.34 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 260.76 = 114.34 : x
  2. Step 2: Convert to fraction form
    189/260.76 = 114.34/x
  3. Step 3: Cross multiply
    189x = 260.76 × 114.34
  4. Step 4: Simplify right side
    189x = 29,815.30
  5. Step 5: Solve for x
    x = 29,815.30/189
  6. Step 6: Final answer
    x = 157.75

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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.