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Finding the Fourth Proportional to 206.75, 284.73 and 191.36

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Solution

The fourth proportional to 206.75, 284.73 and 191.36 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 284.73 = 191.36 : x
  2. Step 2: Convert to fraction form
    206.75/284.73 = 191.36/x
  3. Step 3: Cross multiply
    206.75x = 284.73 × 191.36
  4. Step 4: Simplify right side
    206.75x = 54,484.51
  5. Step 5: Solve for x
    x = 54,484.51/206.75
  6. Step 6: Final answer
    x = 263.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.