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Finding the Fourth Proportional to 201.62, 302.38 and 57.30

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Solution

The fourth proportional to 201.62, 302.38 and 57.30 is: 85.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 302.38 = 57.30 : x
  2. Step 2: Convert to fraction form
    201.62/302.38 = 57.30/x
  3. Step 3: Cross multiply
    201.62x = 302.38 × 57.30
  4. Step 4: Simplify right side
    201.62x = 17,326.37
  5. Step 5: Solve for x
    x = 17,326.37/201.62
  6. Step 6: Final answer
    x = 85.94

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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.