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Finding the Fourth Proportional to 188.80, 283.37 and 120.49

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Solution

The fourth proportional to 188.80, 283.37 and 120.49 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.80 : 283.37 = 120.49 : x
  2. Step 2: Convert to fraction form
    188.80/283.37 = 120.49/x
  3. Step 3: Cross multiply
    188.80x = 283.37 × 120.49
  4. Step 4: Simplify right side
    188.80x = 34,141.94
  5. Step 5: Solve for x
    x = 34,141.94/188.80
  6. Step 6: Final answer
    x = 180.84

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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.