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Finding the Fourth Proportional to 178.12, 246.96 and 168.40

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Solution

The fourth proportional to 178.12, 246.96 and 168.40 is: 233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 246.96 = 168.40 : x
  2. Step 2: Convert to fraction form
    178.12/246.96 = 168.40/x
  3. Step 3: Cross multiply
    178.12x = 246.96 × 168.40
  4. Step 4: Simplify right side
    178.12x = 41,588.06
  5. Step 5: Solve for x
    x = 41,588.06/178.12
  6. Step 6: Final answer
    x = 233.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.