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Finding the Fourth Proportional to 350.10, 483.22 and 202.84

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Solution

The fourth proportional to 350.10, 483.22 and 202.84 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 483.22 = 202.84 : x
  2. Step 2: Convert to fraction form
    350.10/483.22 = 202.84/x
  3. Step 3: Cross multiply
    350.10x = 483.22 × 202.84
  4. Step 4: Simplify right side
    350.10x = 98,016.34
  5. Step 5: Solve for x
    x = 98,016.34/350.10
  6. Step 6: Final answer
    x = 279.97

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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.