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Finding the Fourth Proportional to 295.35, 443.09 and 102.97

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Solution

The fourth proportional to 295.35, 443.09 and 102.97 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 443.09 = 102.97 : x
  2. Step 2: Convert to fraction form
    295.35/443.09 = 102.97/x
  3. Step 3: Cross multiply
    295.35x = 443.09 × 102.97
  4. Step 4: Simplify right side
    295.35x = 45,624.98
  5. Step 5: Solve for x
    x = 45,624.98/295.35
  6. Step 6: Final answer
    x = 154.48

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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.