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Finding the Fourth Proportional to 295.76, 443.36 and 113.02

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Solution

The fourth proportional to 295.76, 443.36 and 113.02 is: 169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 443.36 = 113.02 : x
  2. Step 2: Convert to fraction form
    295.76/443.36 = 113.02/x
  3. Step 3: Cross multiply
    295.76x = 443.36 × 113.02
  4. Step 4: Simplify right side
    295.76x = 50,108.55
  5. Step 5: Solve for x
    x = 50,108.55/295.76
  6. Step 6: Final answer
    x = 169.42

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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.