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Finding the Fourth Proportional to 188.12, 281.04 and 186.50

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Solution

The fourth proportional to 188.12, 281.04 and 186.50 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 281.04 = 186.50 : x
  2. Step 2: Convert to fraction form
    188.12/281.04 = 186.50/x
  3. Step 3: Cross multiply
    188.12x = 281.04 × 186.50
  4. Step 4: Simplify right side
    188.12x = 52,413.96
  5. Step 5: Solve for x
    x = 52,413.96/188.12
  6. Step 6: Final answer
    x = 278.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.