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Finding the Fourth Proportional to 200.94, 277.11 and 161.52

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Solution

The fourth proportional to 200.94, 277.11 and 161.52 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 277.11 = 161.52 : x
  2. Step 2: Convert to fraction form
    200.94/277.11 = 161.52/x
  3. Step 3: Cross multiply
    200.94x = 277.11 × 161.52
  4. Step 4: Simplify right side
    200.94x = 44,758.81
  5. Step 5: Solve for x
    x = 44,758.81/200.94
  6. Step 6: Final answer
    x = 222.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.