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Finding the Fourth Proportional to 200.26, 276.42 and 172.52

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Solution

The fourth proportional to 200.26, 276.42 and 172.52 is: 238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.26 : 276.42 = 172.52 : x
  2. Step 2: Convert to fraction form
    200.26/276.42 = 172.52/x
  3. Step 3: Cross multiply
    200.26x = 276.42 × 172.52
  4. Step 4: Simplify right side
    200.26x = 47,687.98
  5. Step 5: Solve for x
    x = 47,687.98/200.26
  6. Step 6: Final answer
    x = 238.13

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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.