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Finding the Fourth Proportional to 357.27, 535.83 and 174.61

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Solution

The fourth proportional to 357.27, 535.83 and 174.61 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 535.83 = 174.61 : x
  2. Step 2: Convert to fraction form
    357.27/535.83 = 174.61/x
  3. Step 3: Cross multiply
    357.27x = 535.83 × 174.61
  4. Step 4: Simplify right side
    357.27x = 93,561.28
  5. Step 5: Solve for x
    x = 93,561.28/357.27
  6. Step 6: Final answer
    x = 261.88

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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.