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Finding the Fourth Proportional to 295.47, 443.17 and 112.90

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Solution

The fourth proportional to 295.47, 443.17 and 112.90 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 443.17 = 112.90 : x
  2. Step 2: Convert to fraction form
    295.47/443.17 = 112.90/x
  3. Step 3: Cross multiply
    295.47x = 443.17 × 112.90
  4. Step 4: Simplify right side
    295.47x = 50,033.89
  5. Step 5: Solve for x
    x = 50,033.89/295.47
  6. Step 6: Final answer
    x = 169.34

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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.