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Finding the Fourth Proportional to 188.84, 259.92 and 161.12

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Solution

The fourth proportional to 188.84, 259.92 and 161.12 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.84 : 259.92 = 161.12 : x
  2. Step 2: Convert to fraction form
    188.84/259.92 = 161.12/x
  3. Step 3: Cross multiply
    188.84x = 259.92 × 161.12
  4. Step 4: Simplify right side
    188.84x = 41,878.31
  5. Step 5: Solve for x
    x = 41,878.31/188.84
  6. Step 6: Final answer
    x = 221.77

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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.