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Finding the Fourth Proportional to 205.82, 284.14 and 135.02

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Solution

The fourth proportional to 205.82, 284.14 and 135.02 is: 186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.14 = 135.02 : x
  2. Step 2: Convert to fraction form
    205.82/284.14 = 135.02/x
  3. Step 3: Cross multiply
    205.82x = 284.14 × 135.02
  4. Step 4: Simplify right side
    205.82x = 38,363.86
  5. Step 5: Solve for x
    x = 38,363.86/205.82
  6. Step 6: Final answer
    x = 186.39

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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.