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Finding the Fourth Proportional to 253.75, 350.51 and 204.81

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Solution

The fourth proportional to 253.75, 350.51 and 204.81 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 350.51 = 204.81 : x
  2. Step 2: Convert to fraction form
    253.75/350.51 = 204.81/x
  3. Step 3: Cross multiply
    253.75x = 350.51 × 204.81
  4. Step 4: Simplify right side
    253.75x = 71,787.95
  5. Step 5: Solve for x
    x = 71,787.95/253.75
  6. Step 6: Final answer
    x = 282.91

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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.