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Finding the Fourth Proportional to 168.77, 232.52 and 156.21

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Solution

The fourth proportional to 168.77, 232.52 and 156.21 is: 215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.77 : 232.52 = 156.21 : x
  2. Step 2: Convert to fraction form
    168.77/232.52 = 156.21/x
  3. Step 3: Cross multiply
    168.77x = 232.52 × 156.21
  4. Step 4: Simplify right side
    168.77x = 36,321.17
  5. Step 5: Solve for x
    x = 36,321.17/168.77
  6. Step 6: Final answer
    x = 215.22

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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.