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Finding the Fourth Proportional to 200.68, 277.08 and 135.24

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Solution

The fourth proportional to 200.68, 277.08 and 135.24 is: 186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.68 : 277.08 = 135.24 : x
  2. Step 2: Convert to fraction form
    200.68/277.08 = 135.24/x
  3. Step 3: Cross multiply
    200.68x = 277.08 × 135.24
  4. Step 4: Simplify right side
    200.68x = 37,472.30
  5. Step 5: Solve for x
    x = 37,472.30/200.68
  6. Step 6: Final answer
    x = 186.73

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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.