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Finding the Fourth Proportional to 204.76, 282.34 and 191.80

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Solution

The fourth proportional to 204.76, 282.34 and 191.80 is: 264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 282.34 = 191.80 : x
  2. Step 2: Convert to fraction form
    204.76/282.34 = 191.80/x
  3. Step 3: Cross multiply
    204.76x = 282.34 × 191.80
  4. Step 4: Simplify right side
    204.76x = 54,152.81
  5. Step 5: Solve for x
    x = 54,152.81/204.76
  6. Step 6: Final answer
    x = 264.47

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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.