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Finding the Fourth Proportional to 168.84, 254.34 and 143.76

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Solution

The fourth proportional to 168.84, 254.34 and 143.76 is: 216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 254.34 = 143.76 : x
  2. Step 2: Convert to fraction form
    168.84/254.34 = 143.76/x
  3. Step 3: Cross multiply
    168.84x = 254.34 × 143.76
  4. Step 4: Simplify right side
    168.84x = 36,563.92
  5. Step 5: Solve for x
    x = 36,563.92/168.84
  6. Step 6: Final answer
    x = 216.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.