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Finding the Fourth Proportional to 312.56, 468.96 and 141.44

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Solution

The fourth proportional to 312.56, 468.96 and 141.44 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 468.96 = 141.44 : x
  2. Step 2: Convert to fraction form
    312.56/468.96 = 141.44/x
  3. Step 3: Cross multiply
    312.56x = 468.96 × 141.44
  4. Step 4: Simplify right side
    312.56x = 66,329.70
  5. Step 5: Solve for x
    x = 66,329.70/312.56
  6. Step 6: Final answer
    x = 212.21

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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.