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Finding the Fourth Proportional to 200.49, 276.56 and 135.09

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Solution

The fourth proportional to 200.49, 276.56 and 135.09 is: 186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 276.56 = 135.09 : x
  2. Step 2: Convert to fraction form
    200.49/276.56 = 135.09/x
  3. Step 3: Cross multiply
    200.49x = 276.56 × 135.09
  4. Step 4: Simplify right side
    200.49x = 37,360.49
  5. Step 5: Solve for x
    x = 37,360.49/200.49
  6. Step 6: Final answer
    x = 186.35

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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.