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Finding the Fourth Proportional to 189.09, 283.10 and 120.31

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Solution

The fourth proportional to 189.09, 283.10 and 120.31 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.09 : 283.10 = 120.31 : x
  2. Step 2: Convert to fraction form
    189.09/283.10 = 120.31/x
  3. Step 3: Cross multiply
    189.09x = 283.10 × 120.31
  4. Step 4: Simplify right side
    189.09x = 34,058.45
  5. Step 5: Solve for x
    x = 34,058.45/189.09
  6. Step 6: Final answer
    x = 180.12

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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.