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Finding the Fourth Proportional to 204.30, 282.06 and 149.16

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Solution

The fourth proportional to 204.30, 282.06 and 149.16 is: 205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 282.06 = 149.16 : x
  2. Step 2: Convert to fraction form
    204.30/282.06 = 149.16/x
  3. Step 3: Cross multiply
    204.30x = 282.06 × 149.16
  4. Step 4: Simplify right side
    204.30x = 42,072.07
  5. Step 5: Solve for x
    x = 42,072.07/204.30
  6. Step 6: Final answer
    x = 205.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.