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Finding the Fourth Proportional to 178.83, 246.96 and 142.25

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Solution

The fourth proportional to 178.83, 246.96 and 142.25 is: 196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.83 : 246.96 = 142.25 : x
  2. Step 2: Convert to fraction form
    178.83/246.96 = 142.25/x
  3. Step 3: Cross multiply
    178.83x = 246.96 × 142.25
  4. Step 4: Simplify right side
    178.83x = 35,128.83
  5. Step 5: Solve for x
    x = 35,128.83/178.83
  6. Step 6: Final answer
    x = 196.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.