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Finding the Fourth Proportional to 295.78, 443.42 and 141.60

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Solution

The fourth proportional to 295.78, 443.42 and 141.60 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 443.42 = 141.60 : x
  2. Step 2: Convert to fraction form
    295.78/443.42 = 141.60/x
  3. Step 3: Cross multiply
    295.78x = 443.42 × 141.60
  4. Step 4: Simplify right side
    295.78x = 62,788.27
  5. Step 5: Solve for x
    x = 62,788.27/295.78
  6. Step 6: Final answer
    x = 212.28

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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.