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Finding the Fourth Proportional to 202.03, 302.91 and 86.41

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Solution

The fourth proportional to 202.03, 302.91 and 86.41 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.03 : 302.91 = 86.41 : x
  2. Step 2: Convert to fraction form
    202.03/302.91 = 86.41/x
  3. Step 3: Cross multiply
    202.03x = 302.91 × 86.41
  4. Step 4: Simplify right side
    202.03x = 26,174.45
  5. Step 5: Solve for x
    x = 26,174.45/202.03
  6. Step 6: Final answer
    x = 129.56

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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.