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Finding the Fourth Proportional to 188.12, 283.50 and 165.65

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Solution

The fourth proportional to 188.12, 283.50 and 165.65 is: 249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 283.50 = 165.65 : x
  2. Step 2: Convert to fraction form
    188.12/283.50 = 165.65/x
  3. Step 3: Cross multiply
    188.12x = 283.50 × 165.65
  4. Step 4: Simplify right side
    188.12x = 46,960.36
  5. Step 5: Solve for x
    x = 46,960.36/188.12
  6. Step 6: Final answer
    x = 249.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.