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Finding the Fourth Proportional to 200.41, 276.72 and 156.67

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Solution

The fourth proportional to 200.41, 276.72 and 156.67 is: 216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 276.72 = 156.67 : x
  2. Step 2: Convert to fraction form
    200.41/276.72 = 156.67/x
  3. Step 3: Cross multiply
    200.41x = 276.72 × 156.67
  4. Step 4: Simplify right side
    200.41x = 43,353.72
  5. Step 5: Solve for x
    x = 43,353.72/200.41
  6. Step 6: Final answer
    x = 216.33

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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.