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Finding the Fourth Proportional to 295.43, 443.01 and 173.74

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Solution

The fourth proportional to 295.43, 443.01 and 173.74 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.43 : 443.01 = 173.74 : x
  2. Step 2: Convert to fraction form
    295.43/443.01 = 173.74/x
  3. Step 3: Cross multiply
    295.43x = 443.01 × 173.74
  4. Step 4: Simplify right side
    295.43x = 76,968.56
  5. Step 5: Solve for x
    x = 76,968.56/295.43
  6. Step 6: Final answer
    x = 260.53

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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.