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Finding the Fourth Proportional to 204.90, 282.75 and 131.24

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Solution

The fourth proportional to 204.90, 282.75 and 131.24 is: 181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 282.75 = 131.24 : x
  2. Step 2: Convert to fraction form
    204.90/282.75 = 131.24/x
  3. Step 3: Cross multiply
    204.90x = 282.75 × 131.24
  4. Step 4: Simplify right side
    204.90x = 37,106.70
  5. Step 5: Solve for x
    x = 37,106.70/204.90
  6. Step 6: Final answer
    x = 181.10

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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.