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Finding the Fourth Proportional to 204.22, 304.36 and 202.52

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Solution

The fourth proportional to 204.22, 304.36 and 202.52 is: 301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.22 : 304.36 = 202.52 : x
  2. Step 2: Convert to fraction form
    204.22/304.36 = 202.52/x
  3. Step 3: Cross multiply
    204.22x = 304.36 × 202.52
  4. Step 4: Simplify right side
    204.22x = 61,638.99
  5. Step 5: Solve for x
    x = 61,638.99/204.22
  6. Step 6: Final answer
    x = 301.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.