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Finding the Fourth Proportional to 203.09, 304.95 and 122.29

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Solution

The fourth proportional to 203.09, 304.95 and 122.29 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.09 : 304.95 = 122.29 : x
  2. Step 2: Convert to fraction form
    203.09/304.95 = 122.29/x
  3. Step 3: Cross multiply
    203.09x = 304.95 × 122.29
  4. Step 4: Simplify right side
    203.09x = 37,292.34
  5. Step 5: Solve for x
    x = 37,292.34/203.09
  6. Step 6: Final answer
    x = 183.62

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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.