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Finding the Fourth Proportional to 200.04, 276.42 and 161.64

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Solution

The fourth proportional to 200.04, 276.42 and 161.64 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 276.42 = 161.64 : x
  2. Step 2: Convert to fraction form
    200.04/276.42 = 161.64/x
  3. Step 3: Cross multiply
    200.04x = 276.42 × 161.64
  4. Step 4: Simplify right side
    200.04x = 44,680.53
  5. Step 5: Solve for x
    x = 44,680.53/200.04
  6. Step 6: Final answer
    x = 223.36

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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.