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Finding the Fourth Proportional to 188.91, 283.16 and 107.57

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Solution

The fourth proportional to 188.91, 283.16 and 107.57 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.91 : 283.16 = 107.57 : x
  2. Step 2: Convert to fraction form
    188.91/283.16 = 107.57/x
  3. Step 3: Cross multiply
    188.91x = 283.16 × 107.57
  4. Step 4: Simplify right side
    188.91x = 30,459.96
  5. Step 5: Solve for x
    x = 30,459.96/188.91
  6. Step 6: Final answer
    x = 161.24

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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.