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Finding the Fourth Proportional to 200.36, 275.85 and 170.66

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Solution

The fourth proportional to 200.36, 275.85 and 170.66 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 275.85 = 170.66 : x
  2. Step 2: Convert to fraction form
    200.36/275.85 = 170.66/x
  3. Step 3: Cross multiply
    200.36x = 275.85 × 170.66
  4. Step 4: Simplify right side
    200.36x = 47,076.56
  5. Step 5: Solve for x
    x = 47,076.56/200.36
  6. Step 6: Final answer
    x = 234.96

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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.