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Finding the Fourth Proportional to 205.90, 283.98 and 132.22

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Solution

The fourth proportional to 205.90, 283.98 and 132.22 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 283.98 = 132.22 : x
  2. Step 2: Convert to fraction form
    205.90/283.98 = 132.22/x
  3. Step 3: Cross multiply
    205.90x = 283.98 × 132.22
  4. Step 4: Simplify right side
    205.90x = 37,547.84
  5. Step 5: Solve for x
    x = 37,547.84/205.90
  6. Step 6: Final answer
    x = 182.36

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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.