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Finding the Fourth Proportional to 188.96, 283.42 and 73.46

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Solution

The fourth proportional to 188.96, 283.42 and 73.46 is: 110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.96 : 283.42 = 73.46 : x
  2. Step 2: Convert to fraction form
    188.96/283.42 = 73.46/x
  3. Step 3: Cross multiply
    188.96x = 283.42 × 73.46
  4. Step 4: Simplify right side
    188.96x = 20,820.03
  5. Step 5: Solve for x
    x = 20,820.03/188.96
  6. Step 6: Final answer
    x = 110.18

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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.