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Finding the Fourth Proportional to 351.60, 485.21 and 194.23

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Solution

The fourth proportional to 351.60, 485.21 and 194.23 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.60 : 485.21 = 194.23 : x
  2. Step 2: Convert to fraction form
    351.60/485.21 = 194.23/x
  3. Step 3: Cross multiply
    351.60x = 485.21 × 194.23
  4. Step 4: Simplify right side
    351.60x = 94,242.34
  5. Step 5: Solve for x
    x = 94,242.34/351.60
  6. Step 6: Final answer
    x = 268.04

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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.