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Finding the Fourth Proportional to 444.14, 665.74 and 170.24

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Solution

The fourth proportional to 444.14, 665.74 and 170.24 is: 255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.14 : 665.74 = 170.24 : x
  2. Step 2: Convert to fraction form
    444.14/665.74 = 170.24/x
  3. Step 3: Cross multiply
    444.14x = 665.74 × 170.24
  4. Step 4: Simplify right side
    444.14x = 113,335.58
  5. Step 5: Solve for x
    x = 113,335.58/444.14
  6. Step 6: Final answer
    x = 255.18

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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.