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Finding the Fourth Proportional to 186.63, 280.17 and 156.57

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Solution

The fourth proportional to 186.63, 280.17 and 156.57 is: 235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.63 : 280.17 = 156.57 : x
  2. Step 2: Convert to fraction form
    186.63/280.17 = 156.57/x
  3. Step 3: Cross multiply
    186.63x = 280.17 × 156.57
  4. Step 4: Simplify right side
    186.63x = 43,866.22
  5. Step 5: Solve for x
    x = 43,866.22/186.63
  6. Step 6: Final answer
    x = 235.04

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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.