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Finding the Fourth Proportional to 351.99, 485.84 and 204.72

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Solution

The fourth proportional to 351.99, 485.84 and 204.72 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.99 : 485.84 = 204.72 : x
  2. Step 2: Convert to fraction form
    351.99/485.84 = 204.72/x
  3. Step 3: Cross multiply
    351.99x = 485.84 × 204.72
  4. Step 4: Simplify right side
    351.99x = 99,460.14
  5. Step 5: Solve for x
    x = 99,460.14/351.99
  6. Step 6: Final answer
    x = 282.57

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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.