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Finding the Fourth Proportional to 188.43, 282.49 and 89.55

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Solution

The fourth proportional to 188.43, 282.49 and 89.55 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.43 : 282.49 = 89.55 : x
  2. Step 2: Convert to fraction form
    188.43/282.49 = 89.55/x
  3. Step 3: Cross multiply
    188.43x = 282.49 × 89.55
  4. Step 4: Simplify right side
    188.43x = 25,295.57
  5. Step 5: Solve for x
    x = 25,295.57/188.43
  6. Step 6: Final answer
    x = 134.25

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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.