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Finding the Fourth Proportional to 188.12, 259.80 and 161.84

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Solution

The fourth proportional to 188.12, 259.80 and 161.84 is: 223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 259.80 = 161.84 : x
  2. Step 2: Convert to fraction form
    188.12/259.80 = 161.84/x
  3. Step 3: Cross multiply
    188.12x = 259.80 × 161.84
  4. Step 4: Simplify right side
    188.12x = 42,046.03
  5. Step 5: Solve for x
    x = 42,046.03/188.12
  6. Step 6: Final answer
    x = 223.51

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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.