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Finding the Fourth Proportional to 175.37, 261.10 and 173.54

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Solution

The fourth proportional to 175.37, 261.10 and 173.54 is: 258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 261.10 = 173.54 : x
  2. Step 2: Convert to fraction form
    175.37/261.10 = 173.54/x
  3. Step 3: Cross multiply
    175.37x = 261.10 × 173.54
  4. Step 4: Simplify right side
    175.37x = 45,311.29
  5. Step 5: Solve for x
    x = 45,311.29/175.37
  6. Step 6: Final answer
    x = 258.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.