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Finding the Fourth Proportional to 352.14, 485.90 and 212.24

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Solution

The fourth proportional to 352.14, 485.90 and 212.24 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.14 : 485.90 = 212.24 : x
  2. Step 2: Convert to fraction form
    352.14/485.90 = 212.24/x
  3. Step 3: Cross multiply
    352.14x = 485.90 × 212.24
  4. Step 4: Simplify right side
    352.14x = 103,123.93
  5. Step 5: Solve for x
    x = 103,123.93/352.14
  6. Step 6: Final answer
    x = 292.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.