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Finding the Fourth Proportional to 252.95, 349.22 and 174.71

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Solution

The fourth proportional to 252.95, 349.22 and 174.71 is: 241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 349.22 = 174.71 : x
  2. Step 2: Convert to fraction form
    252.95/349.22 = 174.71/x
  3. Step 3: Cross multiply
    252.95x = 349.22 × 174.71
  4. Step 4: Simplify right side
    252.95x = 61,012.23
  5. Step 5: Solve for x
    x = 61,012.23/252.95
  6. Step 6: Final answer
    x = 241.20

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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.