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Finding the Fourth Proportional to 252.34, 378.40 and 105.99

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Solution

The fourth proportional to 252.34, 378.40 and 105.99 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 378.40 = 105.99 : x
  2. Step 2: Convert to fraction form
    252.34/378.40 = 105.99/x
  3. Step 3: Cross multiply
    252.34x = 378.40 × 105.99
  4. Step 4: Simplify right side
    252.34x = 40,106.62
  5. Step 5: Solve for x
    x = 40,106.62/252.34
  6. Step 6: Final answer
    x = 158.94

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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.