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Finding the Fourth Proportional to 295.73, 443.59 and 141.73

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Solution

The fourth proportional to 295.73, 443.59 and 141.73 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 443.59 = 141.73 : x
  2. Step 2: Convert to fraction form
    295.73/443.59 = 141.73/x
  3. Step 3: Cross multiply
    295.73x = 443.59 × 141.73
  4. Step 4: Simplify right side
    295.73x = 62,870.01
  5. Step 5: Solve for x
    x = 62,870.01/295.73
  6. Step 6: Final answer
    x = 212.59

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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.