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Finding the Fourth Proportional to 179.14, 246.98 and 131.84

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Solution

The fourth proportional to 179.14, 246.98 and 131.84 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.14 : 246.98 = 131.84 : x
  2. Step 2: Convert to fraction form
    179.14/246.98 = 131.84/x
  3. Step 3: Cross multiply
    179.14x = 246.98 × 131.84
  4. Step 4: Simplify right side
    179.14x = 32,561.84
  5. Step 5: Solve for x
    x = 32,561.84/179.14
  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.