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Finding the Fourth Proportional to 200.19, 276.26 and 122.57

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Solution

The fourth proportional to 200.19, 276.26 and 122.57 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 276.26 = 122.57 : x
  2. Step 2: Convert to fraction form
    200.19/276.26 = 122.57/x
  3. Step 3: Cross multiply
    200.19x = 276.26 × 122.57
  4. Step 4: Simplify right side
    200.19x = 33,859.81
  5. Step 5: Solve for x
    x = 33,859.81/200.19
  6. Step 6: Final answer
    x = 169.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.