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Finding the Fourth Proportional to 201.69, 302.54 and 57.42

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Solution

The fourth proportional to 201.69, 302.54 and 57.42 is: 86.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 302.54 = 57.42 : x
  2. Step 2: Convert to fraction form
    201.69/302.54 = 57.42/x
  3. Step 3: Cross multiply
    201.69x = 302.54 × 57.42
  4. Step 4: Simplify right side
    201.69x = 17,371.85
  5. Step 5: Solve for x
    x = 17,371.85/201.69
  6. Step 6: Final answer
    x = 86.13

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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.