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Finding the Fourth Proportional to 235.72, 325.11 and 204.94

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Solution

The fourth proportional to 235.72, 325.11 and 204.94 is: 282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 325.11 = 204.94 : x
  2. Step 2: Convert to fraction form
    235.72/325.11 = 204.94/x
  3. Step 3: Cross multiply
    235.72x = 325.11 × 204.94
  4. Step 4: Simplify right side
    235.72x = 66,628.04
  5. Step 5: Solve for x
    x = 66,628.04/235.72
  6. Step 6: Final answer
    x = 282.66

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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.