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Finding the Fourth Proportional to 200.14, 275.97 and 134.53

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Solution

The fourth proportional to 200.14, 275.97 and 134.53 is: 185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 275.97 = 134.53 : x
  2. Step 2: Convert to fraction form
    200.14/275.97 = 134.53/x
  3. Step 3: Cross multiply
    200.14x = 275.97 × 134.53
  4. Step 4: Simplify right side
    200.14x = 37,124.86
  5. Step 5: Solve for x
    x = 37,124.86/200.14
  6. Step 6: Final answer
    x = 185.50

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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.