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Finding the Fourth Proportional to 204.59, 282.15 and 130.79

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Solution

The fourth proportional to 204.59, 282.15 and 130.79 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 282.15 = 130.79 : x
  2. Step 2: Convert to fraction form
    204.59/282.15 = 130.79/x
  3. Step 3: Cross multiply
    204.59x = 282.15 × 130.79
  4. Step 4: Simplify right side
    204.59x = 36,900.99
  5. Step 5: Solve for x
    x = 36,900.99/204.59
  6. Step 6: Final answer
    x = 180.37

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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.