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Finding the Fourth Proportional to 178.44, 245.97 and 131.86

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Solution

The fourth proportional to 178.44, 245.97 and 131.86 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 245.97 = 131.86 : x
  2. Step 2: Convert to fraction form
    178.44/245.97 = 131.86/x
  3. Step 3: Cross multiply
    178.44x = 245.97 × 131.86
  4. Step 4: Simplify right side
    178.44x = 32,433.91
  5. Step 5: Solve for x
    x = 32,433.91/178.44
  6. Step 6: Final answer
    x = 181.77

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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.