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Finding the Fourth Proportional to 204.83, 282.53 and 191.16

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Solution

The fourth proportional to 204.83, 282.53 and 191.16 is: 263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.83 : 282.53 = 191.16 : x
  2. Step 2: Convert to fraction form
    204.83/282.53 = 191.16/x
  3. Step 3: Cross multiply
    204.83x = 282.53 × 191.16
  4. Step 4: Simplify right side
    204.83x = 54,007.02
  5. Step 5: Solve for x
    x = 54,007.02/204.83
  6. Step 6: Final answer
    x = 263.67

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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.