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Finding the Fourth Proportional to 200.90, 277.34 and 142.17

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Solution

The fourth proportional to 200.90, 277.34 and 142.17 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 277.34 = 142.17 : x
  2. Step 2: Convert to fraction form
    200.90/277.34 = 142.17/x
  3. Step 3: Cross multiply
    200.90x = 277.34 × 142.17
  4. Step 4: Simplify right side
    200.90x = 39,428.72
  5. Step 5: Solve for x
    x = 39,428.72/200.90
  6. Step 6: Final answer
    x = 196.27

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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.