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Finding the Fourth Proportional to 204.81, 282.47 and 131.13

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Solution

The fourth proportional to 204.81, 282.47 and 131.13 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.81 : 282.47 = 131.13 : x
  2. Step 2: Convert to fraction form
    204.81/282.47 = 131.13/x
  3. Step 3: Cross multiply
    204.81x = 282.47 × 131.13
  4. Step 4: Simplify right side
    204.81x = 37,039.64
  5. Step 5: Solve for x
    x = 37,039.64/204.81
  6. Step 6: Final answer
    x = 180.85

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Why These Related Problems?

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