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Finding the Fourth Proportional to 174.40, 261.30 and 142.24

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Solution

The fourth proportional to 174.40, 261.30 and 142.24 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 261.30 = 142.24 : x
  2. Step 2: Convert to fraction form
    174.40/261.30 = 142.24/x
  3. Step 3: Cross multiply
    174.40x = 261.30 × 142.24
  4. Step 4: Simplify right side
    174.40x = 37,167.31
  5. Step 5: Solve for x
    x = 37,167.31/174.40
  6. Step 6: Final answer
    x = 213.12

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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.