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Finding the Fourth Proportional to 188.93, 283.21 and 106.57

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Solution

The fourth proportional to 188.93, 283.21 and 106.57 is: 159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.93 : 283.21 = 106.57 : x
  2. Step 2: Convert to fraction form
    188.93/283.21 = 106.57/x
  3. Step 3: Cross multiply
    188.93x = 283.21 × 106.57
  4. Step 4: Simplify right side
    188.93x = 30,180.72
  5. Step 5: Solve for x
    x = 30,180.72/188.93
  6. Step 6: Final answer
    x = 159.74

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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.