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Finding the Fourth Proportional to 252, 377.22 and 174.72

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Solution

The fourth proportional to 252, 377.22 and 174.72 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 377.22 = 174.72 : x
  2. Step 2: Convert to fraction form
    252/377.22 = 174.72/x
  3. Step 3: Cross multiply
    252x = 377.22 × 174.72
  4. Step 4: Simplify right side
    252x = 65,907.88
  5. Step 5: Solve for x
    x = 65,907.88/252
  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.