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Finding the Fourth Proportional to 175.71, 244.11 and 174.13

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Solution

The fourth proportional to 175.71, 244.11 and 174.13 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 244.11 = 174.13 : x
  2. Step 2: Convert to fraction form
    175.71/244.11 = 174.13/x
  3. Step 3: Cross multiply
    175.71x = 244.11 × 174.13
  4. Step 4: Simplify right side
    175.71x = 42,506.26
  5. Step 5: Solve for x
    x = 42,506.26/175.71
  6. Step 6: Final answer
    x = 241.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.