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Finding the Fourth Proportional to 350.19, 483.24 and 202.82

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Solution

The fourth proportional to 350.19, 483.24 and 202.82 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.19 : 483.24 = 202.82 : x
  2. Step 2: Convert to fraction form
    350.19/483.24 = 202.82/x
  3. Step 3: Cross multiply
    350.19x = 483.24 × 202.82
  4. Step 4: Simplify right side
    350.19x = 98,011.94
  5. Step 5: Solve for x
    x = 98,011.94/350.19
  6. Step 6: Final answer
    x = 279.88

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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.