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Finding the Fourth Proportional to 186.88, 280.62 and 156.68

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Solution

The fourth proportional to 186.88, 280.62 and 156.68 is: 235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.88 : 280.62 = 156.68 : x
  2. Step 2: Convert to fraction form
    186.88/280.62 = 156.68/x
  3. Step 3: Cross multiply
    186.88x = 280.62 × 156.68
  4. Step 4: Simplify right side
    186.88x = 43,967.54
  5. Step 5: Solve for x
    x = 43,967.54/186.88
  6. Step 6: Final answer
    x = 235.27

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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.