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Finding the Fourth Proportional to 357.14, 535.46 and 174.44

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Solution

The fourth proportional to 357.14, 535.46 and 174.44 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.14 : 535.46 = 174.44 : x
  2. Step 2: Convert to fraction form
    357.14/535.46 = 174.44/x
  3. Step 3: Cross multiply
    357.14x = 535.46 × 174.44
  4. Step 4: Simplify right side
    357.14x = 93,405.64
  5. Step 5: Solve for x
    x = 93,405.64/357.14
  6. Step 6: Final answer
    x = 261.54

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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.