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Finding the Fourth Proportional to 295.54, 443.31 and 141.43

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Solution

The fourth proportional to 295.54, 443.31 and 141.43 is: 212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.54 : 443.31 = 141.43 : x
  2. Step 2: Convert to fraction form
    295.54/443.31 = 141.43/x
  3. Step 3: Cross multiply
    295.54x = 443.31 × 141.43
  4. Step 4: Simplify right side
    295.54x = 62,695.87
  5. Step 5: Solve for x
    x = 62,695.87/295.54
  6. Step 6: Final answer
    x = 212.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.