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Finding the Fourth Proportional to 200.22, 276.15 and 144.96

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Solution

The fourth proportional to 200.22, 276.15 and 144.96 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 276.15 = 144.96 : x
  2. Step 2: Convert to fraction form
    200.22/276.15 = 144.96/x
  3. Step 3: Cross multiply
    200.22x = 276.15 × 144.96
  4. Step 4: Simplify right side
    200.22x = 40,030.70
  5. Step 5: Solve for x
    x = 40,030.70/200.22
  6. Step 6: Final answer
    x = 199.93

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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.