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Finding the Fourth Proportional to 174.06, 240.24 and 141.30

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Solution

The fourth proportional to 174.06, 240.24 and 141.30 is: 195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.06 : 240.24 = 141.30 : x
  2. Step 2: Convert to fraction form
    174.06/240.24 = 141.30/x
  3. Step 3: Cross multiply
    174.06x = 240.24 × 141.30
  4. Step 4: Simplify right side
    174.06x = 33,945.91
  5. Step 5: Solve for x
    x = 33,945.91/174.06
  6. Step 6: Final answer
    x = 195.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.