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Finding the Fourth Proportional to 202.09, 302.89 and 86.36

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Solution

The fourth proportional to 202.09, 302.89 and 86.36 is: 129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.09 : 302.89 = 86.36 : x
  2. Step 2: Convert to fraction form
    202.09/302.89 = 86.36/x
  3. Step 3: Cross multiply
    202.09x = 302.89 × 86.36
  4. Step 4: Simplify right side
    202.09x = 26,157.58
  5. Step 5: Solve for x
    x = 26,157.58/202.09
  6. Step 6: Final answer
    x = 129.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.