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Finding the Fourth Proportional to 204.51, 282.15 and 130.86

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Solution

The fourth proportional to 204.51, 282.15 and 130.86 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 282.15 = 130.86 : x
  2. Step 2: Convert to fraction form
    204.51/282.15 = 130.86/x
  3. Step 3: Cross multiply
    204.51x = 282.15 × 130.86
  4. Step 4: Simplify right side
    204.51x = 36,922.15
  5. Step 5: Solve for x
    x = 36,922.15/204.51
  6. Step 6: Final answer
    x = 180.54

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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.