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Finding the Fourth Proportional to 189, 260.64 and 130.86

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Solution

The fourth proportional to 189, 260.64 and 130.86 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 260.64 = 130.86 : x
  2. Step 2: Convert to fraction form
    189/260.64 = 130.86/x
  3. Step 3: Cross multiply
    189x = 260.64 × 130.86
  4. Step 4: Simplify right side
    189x = 34,107.35
  5. Step 5: Solve for x
    x = 34,107.35/189
  6. Step 6: Final answer
    x = 180.46

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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.