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Finding the Fourth Proportional to 350.10, 483.20 and 202.77

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Solution

The fourth proportional to 350.10, 483.20 and 202.77 is: 279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 483.20 = 202.77 : x
  2. Step 2: Convert to fraction form
    350.10/483.20 = 202.77/x
  3. Step 3: Cross multiply
    350.10x = 483.20 × 202.77
  4. Step 4: Simplify right side
    350.10x = 97,978.46
  5. Step 5: Solve for x
    x = 97,978.46/350.10
  6. Step 6: Final answer
    x = 279.86

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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.