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Finding the Fourth Proportional to 168.78, 253.08 and 120.72

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Solution

The fourth proportional to 168.78, 253.08 and 120.72 is: 181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 253.08 = 120.72 : x
  2. Step 2: Convert to fraction form
    168.78/253.08 = 120.72/x
  3. Step 3: Cross multiply
    168.78x = 253.08 × 120.72
  4. Step 4: Simplify right side
    168.78x = 30,551.82
  5. Step 5: Solve for x
    x = 30,551.82/168.78
  6. Step 6: Final answer
    x = 181.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.