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Finding the Fourth Proportional to 201.76, 302.34 and 86.14

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Solution

The fourth proportional to 201.76, 302.34 and 86.14 is: 129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 302.34 = 86.14 : x
  2. Step 2: Convert to fraction form
    201.76/302.34 = 86.14/x
  3. Step 3: Cross multiply
    201.76x = 302.34 × 86.14
  4. Step 4: Simplify right side
    201.76x = 26,044.27
  5. Step 5: Solve for x
    x = 26,044.27/201.76
  6. Step 6: Final answer
    x = 129.09

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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.