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Finding the Fourth Proportional to 179.42, 247.38 and 149.96

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Solution

The fourth proportional to 179.42, 247.38 and 149.96 is: 206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.42 : 247.38 = 149.96 : x
  2. Step 2: Convert to fraction form
    179.42/247.38 = 149.96/x
  3. Step 3: Cross multiply
    179.42x = 247.38 × 149.96
  4. Step 4: Simplify right side
    179.42x = 37,097.10
  5. Step 5: Solve for x
    x = 37,097.10/179.42
  6. Step 6: Final answer
    x = 206.76

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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.