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Finding the Fourth Proportional to 201.92, 302.68 and 86.32

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Solution

The fourth proportional to 201.92, 302.68 and 86.32 is: 129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 302.68 = 86.32 : x
  2. Step 2: Convert to fraction form
    201.92/302.68 = 86.32/x
  3. Step 3: Cross multiply
    201.92x = 302.68 × 86.32
  4. Step 4: Simplify right side
    201.92x = 26,127.34
  5. Step 5: Solve for x
    x = 26,127.34/201.92
  6. Step 6: Final answer
    x = 129.39

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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.