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Finding the Fourth Proportional to 189, 283.56 and 86.32

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Solution

The fourth proportional to 189, 283.56 and 86.32 is: 129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 283.56 = 86.32 : x
  2. Step 2: Convert to fraction form
    189/283.56 = 86.32/x
  3. Step 3: Cross multiply
    189x = 283.56 × 86.32
  4. Step 4: Simplify right side
    189x = 24,476.90
  5. Step 5: Solve for x
    x = 24,476.90/189
  6. Step 6: Final answer
    x = 129.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.