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Finding the Fourth Proportional to 295.73, 443.50 and 113.02

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Solution

The fourth proportional to 295.73, 443.50 and 113.02 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 443.50 = 113.02 : x
  2. Step 2: Convert to fraction form
    295.73/443.50 = 113.02/x
  3. Step 3: Cross multiply
    295.73x = 443.50 × 113.02
  4. Step 4: Simplify right side
    295.73x = 50,124.54
  5. Step 5: Solve for x
    x = 50,124.54/295.73
  6. Step 6: Final answer
    x = 169.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.