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Finding the Fourth Proportional to 175.44, 264.42 and 174.12

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Solution

The fourth proportional to 175.44, 264.42 and 174.12 is: 262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.44 : 264.42 = 174.12 : x
  2. Step 2: Convert to fraction form
    175.44/264.42 = 174.12/x
  3. Step 3: Cross multiply
    175.44x = 264.42 × 174.12
  4. Step 4: Simplify right side
    175.44x = 46,040.81
  5. Step 5: Solve for x
    x = 46,040.81/175.44
  6. Step 6: Final answer
    x = 262.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.