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Finding the Fourth Proportional to 200.52, 300.63 and 97.74

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Solution

The fourth proportional to 200.52, 300.63 and 97.74 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 300.63 = 97.74 : x
  2. Step 2: Convert to fraction form
    200.52/300.63 = 97.74/x
  3. Step 3: Cross multiply
    200.52x = 300.63 × 97.74
  4. Step 4: Simplify right side
    200.52x = 29,383.58
  5. Step 5: Solve for x
    x = 29,383.58/200.52
  6. Step 6: Final answer
    x = 146.54

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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.