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Finding the Fourth Proportional to 188.95, 282.17 and 161.68

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Solution

The fourth proportional to 188.95, 282.17 and 161.68 is: 241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.95 : 282.17 = 161.68 : x
  2. Step 2: Convert to fraction form
    188.95/282.17 = 161.68/x
  3. Step 3: Cross multiply
    188.95x = 282.17 × 161.68
  4. Step 4: Simplify right side
    188.95x = 45,621.25
  5. Step 5: Solve for x
    x = 45,621.25/188.95
  6. Step 6: Final answer
    x = 241.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.