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Finding the Fourth Proportional to 352.21, 485.90 and 212.25

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Solution

The fourth proportional to 352.21, 485.90 and 212.25 is: 292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.21 : 485.90 = 212.25 : x
  2. Step 2: Convert to fraction form
    352.21/485.90 = 212.25/x
  3. Step 3: Cross multiply
    352.21x = 485.90 × 212.25
  4. Step 4: Simplify right side
    352.21x = 103,133.83
  5. Step 5: Solve for x
    x = 103,133.83/352.21
  6. Step 6: Final answer
    x = 292.82

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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.