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Finding the Fourth Proportional to 200.56, 301.22 and 149.52

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Solution

The fourth proportional to 200.56, 301.22 and 149.52 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 301.22 = 149.52 : x
  2. Step 2: Convert to fraction form
    200.56/301.22 = 149.52/x
  3. Step 3: Cross multiply
    200.56x = 301.22 × 149.52
  4. Step 4: Simplify right side
    200.56x = 45,038.41
  5. Step 5: Solve for x
    x = 45,038.41/200.56
  6. Step 6: Final answer
    x = 224.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.