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Finding the Fourth Proportional to 357.21, 535.67 and 174.49

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Solution

The fourth proportional to 357.21, 535.67 and 174.49 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 535.67 = 174.49 : x
  2. Step 2: Convert to fraction form
    357.21/535.67 = 174.49/x
  3. Step 3: Cross multiply
    357.21x = 535.67 × 174.49
  4. Step 4: Simplify right side
    357.21x = 93,466.38
  5. Step 5: Solve for x
    x = 93,466.38/357.21
  6. Step 6: Final answer
    x = 261.66

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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.