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Finding the Fourth Proportional to 179.36, 247.42 and 113.80

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Solution

The fourth proportional to 179.36, 247.42 and 113.80 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.36 : 247.42 = 113.80 : x
  2. Step 2: Convert to fraction form
    179.36/247.42 = 113.80/x
  3. Step 3: Cross multiply
    179.36x = 247.42 × 113.80
  4. Step 4: Simplify right side
    179.36x = 28,156.40
  5. Step 5: Solve for x
    x = 28,156.40/179.36
  6. Step 6: Final answer
    x = 156.98

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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.