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Finding the Fourth Proportional to 250.26, 344.82 and 180.18

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Solution

The fourth proportional to 250.26, 344.82 and 180.18 is: 248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.26 : 344.82 = 180.18 : x
  2. Step 2: Convert to fraction form
    250.26/344.82 = 180.18/x
  3. Step 3: Cross multiply
    250.26x = 344.82 × 180.18
  4. Step 4: Simplify right side
    250.26x = 62,129.67
  5. Step 5: Solve for x
    x = 62,129.67/250.26
  6. Step 6: Final answer
    x = 248.26

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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.