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Finding the Fourth Proportional to 295.78, 443.73 and 103.42

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Solution

The fourth proportional to 295.78, 443.73 and 103.42 is: 155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 443.73 = 103.42 : x
  2. Step 2: Convert to fraction form
    295.78/443.73 = 103.42/x
  3. Step 3: Cross multiply
    295.78x = 443.73 × 103.42
  4. Step 4: Simplify right side
    295.78x = 45,890.56
  5. Step 5: Solve for x
    x = 45,890.56/295.78
  6. Step 6: Final answer
    x = 155.15

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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.