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Finding the Fourth Proportional to 188.37, 282.49 and 75.64

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Solution

The fourth proportional to 188.37, 282.49 and 75.64 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.37 : 282.49 = 75.64 : x
  2. Step 2: Convert to fraction form
    188.37/282.49 = 75.64/x
  3. Step 3: Cross multiply
    188.37x = 282.49 × 75.64
  4. Step 4: Simplify right side
    188.37x = 21,366.65
  5. Step 5: Solve for x
    x = 21,366.65/188.37
  6. Step 6: Final answer
    x = 113.43

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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.