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Finding the Fourth Proportional to 174.09, 240 and 142.96

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Solution

The fourth proportional to 174.09, 240 and 142.96 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 240 = 142.96 : x
  2. Step 2: Convert to fraction form
    174.09/240 = 142.96/x
  3. Step 3: Cross multiply
    174.09x = 240 × 142.96
  4. Step 4: Simplify right side
    174.09x = 34,310.40
  5. Step 5: Solve for x
    x = 34,310.40/174.09
  6. Step 6: Final answer
    x = 197.08

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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.