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Finding the Fourth Proportional to 178.24, 244.82 and 175.84

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Solution

The fourth proportional to 178.24, 244.82 and 175.84 is: 241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 244.82 = 175.84 : x
  2. Step 2: Convert to fraction form
    178.24/244.82 = 175.84/x
  3. Step 3: Cross multiply
    178.24x = 244.82 × 175.84
  4. Step 4: Simplify right side
    178.24x = 43,049.15
  5. Step 5: Solve for x
    x = 43,049.15/178.24
  6. Step 6: Final answer
    x = 241.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.