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Finding the Fourth Proportional to 174.24, 261.36 and 142.56

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Solution

The fourth proportional to 174.24, 261.36 and 142.56 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 261.36 = 142.56 : x
  2. Step 2: Convert to fraction form
    174.24/261.36 = 142.56/x
  3. Step 3: Cross multiply
    174.24x = 261.36 × 142.56
  4. Step 4: Simplify right side
    174.24x = 37,259.48
  5. Step 5: Solve for x
    x = 37,259.48/174.24
  6. Step 6: Final answer
    x = 213.84

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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.