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Finding the Fourth Proportional to 357.24, 535.86 and 194.70

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Solution

The fourth proportional to 357.24, 535.86 and 194.70 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 535.86 = 194.70 : x
  2. Step 2: Convert to fraction form
    357.24/535.86 = 194.70/x
  3. Step 3: Cross multiply
    357.24x = 535.86 × 194.70
  4. Step 4: Simplify right side
    357.24x = 104,331.94
  5. Step 5: Solve for x
    x = 104,331.94/357.24
  6. Step 6: Final answer
    x = 292.05

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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.