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Finding the Fourth Proportional to 200.88, 277.28 and 135.36

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Solution

The fourth proportional to 200.88, 277.28 and 135.36 is: 186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 277.28 = 135.36 : x
  2. Step 2: Convert to fraction form
    200.88/277.28 = 135.36/x
  3. Step 3: Cross multiply
    200.88x = 277.28 × 135.36
  4. Step 4: Simplify right side
    200.88x = 37,532.62
  5. Step 5: Solve for x
    x = 37,532.62/200.88
  6. Step 6: Final answer
    x = 186.84

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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.