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Finding the Fourth Proportional to 280.36, 386.62 and 186.85

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Solution

The fourth proportional to 280.36, 386.62 and 186.85 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 386.62 = 186.85 : x
  2. Step 2: Convert to fraction form
    280.36/386.62 = 186.85/x
  3. Step 3: Cross multiply
    280.36x = 386.62 × 186.85
  4. Step 4: Simplify right side
    280.36x = 72,239.95
  5. Step 5: Solve for x
    x = 72,239.95/280.36
  6. Step 6: Final answer
    x = 257.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.