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Finding the Fourth Proportional to 351.80, 527.23 and 197.65

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Solution

The fourth proportional to 351.80, 527.23 and 197.65 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.80 : 527.23 = 197.65 : x
  2. Step 2: Convert to fraction form
    351.80/527.23 = 197.65/x
  3. Step 3: Cross multiply
    351.80x = 527.23 × 197.65
  4. Step 4: Simplify right side
    351.80x = 104,203.39
  5. Step 5: Solve for x
    x = 104,203.39/351.80
  6. Step 6: Final answer
    x = 296.20

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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.