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Finding the Fourth Proportional to 206.44, 284.77 and 192.77

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Solution

The fourth proportional to 206.44, 284.77 and 192.77 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 284.77 = 192.77 : x
  2. Step 2: Convert to fraction form
    206.44/284.77 = 192.77/x
  3. Step 3: Cross multiply
    206.44x = 284.77 × 192.77
  4. Step 4: Simplify right side
    206.44x = 54,893.51
  5. Step 5: Solve for x
    x = 54,893.51/206.44
  6. Step 6: Final answer
    x = 265.91

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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.