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Finding the Fourth Proportional to 252.95, 349.09 and 153.44

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Solution

The fourth proportional to 252.95, 349.09 and 153.44 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 349.09 = 153.44 : x
  2. Step 2: Convert to fraction form
    252.95/349.09 = 153.44/x
  3. Step 3: Cross multiply
    252.95x = 349.09 × 153.44
  4. Step 4: Simplify right side
    252.95x = 53,563.65
  5. Step 5: Solve for x
    x = 53,563.65/252.95
  6. Step 6: Final answer
    x = 211.75

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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.