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Finding the Fourth Proportional to 204.83, 282.39 and 145.90

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Solution

The fourth proportional to 204.83, 282.39 and 145.90 is: 201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.83 : 282.39 = 145.90 : x
  2. Step 2: Convert to fraction form
    204.83/282.39 = 145.90/x
  3. Step 3: Cross multiply
    204.83x = 282.39 × 145.90
  4. Step 4: Simplify right side
    204.83x = 41,200.51
  5. Step 5: Solve for x
    x = 41,200.51/204.83
  6. Step 6: Final answer
    x = 201.15

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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.