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Finding the Fourth Proportional to 357.20, 535.80 and 194.75

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Solution

The fourth proportional to 357.20, 535.80 and 194.75 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.20 : 535.80 = 194.75 : x
  2. Step 2: Convert to fraction form
    357.20/535.80 = 194.75/x
  3. Step 3: Cross multiply
    357.20x = 535.80 × 194.75
  4. Step 4: Simplify right side
    357.20x = 104,347.05
  5. Step 5: Solve for x
    x = 104,347.05/357.20
  6. Step 6: Final answer
    x = 292.13

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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.