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Finding the Fourth Proportional to 179.62, 247.77 and 110.50

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Solution

The fourth proportional to 179.62, 247.77 and 110.50 is: 152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.62 : 247.77 = 110.50 : x
  2. Step 2: Convert to fraction form
    179.62/247.77 = 110.50/x
  3. Step 3: Cross multiply
    179.62x = 247.77 × 110.50
  4. Step 4: Simplify right side
    179.62x = 27,378.59
  5. Step 5: Solve for x
    x = 27,378.59/179.62
  6. Step 6: Final answer
    x = 152.43

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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.