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Finding the Fourth Proportional to 205.81, 284.07 and 132.19

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Solution

The fourth proportional to 205.81, 284.07 and 132.19 is: 182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.81 : 284.07 = 132.19 : x
  2. Step 2: Convert to fraction form
    205.81/284.07 = 132.19/x
  3. Step 3: Cross multiply
    205.81x = 284.07 × 132.19
  4. Step 4: Simplify right side
    205.81x = 37,551.21
  5. Step 5: Solve for x
    x = 37,551.21/205.81
  6. Step 6: Final answer
    x = 182.46

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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.