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Finding the Fourth Proportional to 179.30, 247.49 and 113.80

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Solution

The fourth proportional to 179.30, 247.49 and 113.80 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 247.49 = 113.80 : x
  2. Step 2: Convert to fraction form
    179.30/247.49 = 113.80/x
  3. Step 3: Cross multiply
    179.30x = 247.49 × 113.80
  4. Step 4: Simplify right side
    179.30x = 28,164.36
  5. Step 5: Solve for x
    x = 28,164.36/179.30
  6. Step 6: Final answer
    x = 157.08

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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.