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Finding the Fourth Proportional to 175.34, 241.85 and 126.29

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Solution

The fourth proportional to 175.34, 241.85 and 126.29 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 241.85 = 126.29 : x
  2. Step 2: Convert to fraction form
    175.34/241.85 = 126.29/x
  3. Step 3: Cross multiply
    175.34x = 241.85 × 126.29
  4. Step 4: Simplify right side
    175.34x = 30,541.40
  5. Step 5: Solve for x
    x = 30,541.40/175.34
  6. Step 6: Final answer
    x = 174.19

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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.