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Finding the Fourth Proportional to 205.10, 282.69 and 146.09

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Solution

The fourth proportional to 205.10, 282.69 and 146.09 is: 201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 282.69 = 146.09 : x
  2. Step 2: Convert to fraction form
    205.10/282.69 = 146.09/x
  3. Step 3: Cross multiply
    205.10x = 282.69 × 146.09
  4. Step 4: Simplify right side
    205.10x = 41,298.18
  5. Step 5: Solve for x
    x = 41,298.18/205.10
  6. Step 6: Final answer
    x = 201.36

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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.