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Finding the Fourth Proportional to 188.86, 283.80 and 102.26

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Solution

The fourth proportional to 188.86, 283.80 and 102.26 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 283.80 = 102.26 : x
  2. Step 2: Convert to fraction form
    188.86/283.80 = 102.26/x
  3. Step 3: Cross multiply
    188.86x = 283.80 × 102.26
  4. Step 4: Simplify right side
    188.86x = 29,019.97
  5. Step 5: Solve for x
    x = 29,019.97/188.86
  6. Step 6: Final answer
    x = 153.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.