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Finding the Fourth Proportional to 200.50, 276.70 and 122.88

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Solution

The fourth proportional to 200.50, 276.70 and 122.88 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 276.70 = 122.88 : x
  2. Step 2: Convert to fraction form
    200.50/276.70 = 122.88/x
  3. Step 3: Cross multiply
    200.50x = 276.70 × 122.88
  4. Step 4: Simplify right side
    200.50x = 34,000.90
  5. Step 5: Solve for x
    x = 34,000.90/200.50
  6. Step 6: Final answer
    x = 169.58

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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.