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Finding the Fourth Proportional to 188.06, 282.09 and 79.78

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Solution

The fourth proportional to 188.06, 282.09 and 79.78 is: 119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.06 : 282.09 = 79.78 : x
  2. Step 2: Convert to fraction form
    188.06/282.09 = 79.78/x
  3. Step 3: Cross multiply
    188.06x = 282.09 × 79.78
  4. Step 4: Simplify right side
    188.06x = 22,503.73
  5. Step 5: Solve for x
    x = 22,503.73/188.06
  6. Step 6: Final answer
    x = 119.66

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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.