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Finding the Fourth Proportional to 357.37, 535.34 and 174.22

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Solution

The fourth proportional to 357.37, 535.34 and 174.22 is: 260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.37 : 535.34 = 174.22 : x
  2. Step 2: Convert to fraction form
    357.37/535.34 = 174.22/x
  3. Step 3: Cross multiply
    357.37x = 535.34 × 174.22
  4. Step 4: Simplify right side
    357.37x = 93,266.03
  5. Step 5: Solve for x
    x = 93,266.03/357.37
  6. Step 6: Final answer
    x = 260.98

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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.