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Finding the Fourth Proportional to 252.24, 378.36 and 174.48

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Solution

The fourth proportional to 252.24, 378.36 and 174.48 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 378.36 = 174.48 : x
  2. Step 2: Convert to fraction form
    252.24/378.36 = 174.48/x
  3. Step 3: Cross multiply
    252.24x = 378.36 × 174.48
  4. Step 4: Simplify right side
    252.24x = 66,016.25
  5. Step 5: Solve for x
    x = 66,016.25/252.24
  6. Step 6: Final answer
    x = 261.72

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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.