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Finding the Fourth Proportional to 178.58, 246.47 and 137.27

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Solution

The fourth proportional to 178.58, 246.47 and 137.27 is: 189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.58 : 246.47 = 137.27 : x
  2. Step 2: Convert to fraction form
    178.58/246.47 = 137.27/x
  3. Step 3: Cross multiply
    178.58x = 246.47 × 137.27
  4. Step 4: Simplify right side
    178.58x = 33,832.94
  5. Step 5: Solve for x
    x = 33,832.94/178.58
  6. Step 6: Final answer
    x = 189.46

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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.