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Finding the Fourth Proportional to 351.53, 485.07 and 204.13

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Solution

The fourth proportional to 351.53, 485.07 and 204.13 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.53 : 485.07 = 204.13 : x
  2. Step 2: Convert to fraction form
    351.53/485.07 = 204.13/x
  3. Step 3: Cross multiply
    351.53x = 485.07 × 204.13
  4. Step 4: Simplify right side
    351.53x = 99,017.34
  5. Step 5: Solve for x
    x = 99,017.34/351.53
  6. Step 6: Final answer
    x = 281.68

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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.