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Finding the Fourth Proportional to 350.82, 525.76 and 194.54

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Solution

The fourth proportional to 350.82, 525.76 and 194.54 is: 291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 525.76 = 194.54 : x
  2. Step 2: Convert to fraction form
    350.82/525.76 = 194.54/x
  3. Step 3: Cross multiply
    350.82x = 525.76 × 194.54
  4. Step 4: Simplify right side
    350.82x = 102,281.35
  5. Step 5: Solve for x
    x = 102,281.35/350.82
  6. Step 6: Final answer
    x = 291.55

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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.