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Finding the Fourth Proportional to 201.73, 302.67 and 64.78

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Solution

The fourth proportional to 201.73, 302.67 and 64.78 is: 97.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.73 : 302.67 = 64.78 : x
  2. Step 2: Convert to fraction form
    201.73/302.67 = 64.78/x
  3. Step 3: Cross multiply
    201.73x = 302.67 × 64.78
  4. Step 4: Simplify right side
    201.73x = 19,606.96
  5. Step 5: Solve for x
    x = 19,606.96/201.73
  6. Step 6: Final answer
    x = 97.19

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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.