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Finding the Fourth Proportional to 252.17, 377.81 and 105.60

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Solution

The fourth proportional to 252.17, 377.81 and 105.60 is: 158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.17 : 377.81 = 105.60 : x
  2. Step 2: Convert to fraction form
    252.17/377.81 = 105.60/x
  3. Step 3: Cross multiply
    252.17x = 377.81 × 105.60
  4. Step 4: Simplify right side
    252.17x = 39,896.58
  5. Step 5: Solve for x
    x = 39,896.58/252.17
  6. Step 6: Final answer
    x = 158.21

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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.