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Finding the Fourth Proportional to 200.64, 276.66 and 161.76

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Solution

The fourth proportional to 200.64, 276.66 and 161.76 is: 223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.64 : 276.66 = 161.76 : x
  2. Step 2: Convert to fraction form
    200.64/276.66 = 161.76/x
  3. Step 3: Cross multiply
    200.64x = 276.66 × 161.76
  4. Step 4: Simplify right side
    200.64x = 44,752.52
  5. Step 5: Solve for x
    x = 44,752.52/200.64
  6. Step 6: Final answer
    x = 223.05

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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.