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Finding the Fourth Proportional to 178.70, 246.59 and 105.05

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Solution

The fourth proportional to 178.70, 246.59 and 105.05 is: 144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 246.59 = 105.05 : x
  2. Step 2: Convert to fraction form
    178.70/246.59 = 105.05/x
  3. Step 3: Cross multiply
    178.70x = 246.59 × 105.05
  4. Step 4: Simplify right side
    178.70x = 25,902.52
  5. Step 5: Solve for x
    x = 25,902.52/178.70
  6. Step 6: Final answer
    x = 144.95

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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.