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Finding the Fourth Proportional to 310.94, 466.44 and 105.52

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Solution

The fourth proportional to 310.94, 466.44 and 105.52 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 466.44 = 105.52 : x
  2. Step 2: Convert to fraction form
    310.94/466.44 = 105.52/x
  3. Step 3: Cross multiply
    310.94x = 466.44 × 105.52
  4. Step 4: Simplify right side
    310.94x = 49,218.75
  5. Step 5: Solve for x
    x = 49,218.75/310.94
  6. Step 6: Final answer
    x = 158.29

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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.