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Finding the Fourth Proportional to 175.37, 240.06 and 174.96

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Solution

The fourth proportional to 175.37, 240.06 and 174.96 is: 239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 240.06 = 174.96 : x
  2. Step 2: Convert to fraction form
    175.37/240.06 = 174.96/x
  3. Step 3: Cross multiply
    175.37x = 240.06 × 174.96
  4. Step 4: Simplify right side
    175.37x = 42,001.55
  5. Step 5: Solve for x
    x = 42,001.55/175.37
  6. Step 6: Final answer
    x = 239.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.