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Finding the Fourth Proportional to 280.89, 388.19 and 202.30

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Solution

The fourth proportional to 280.89, 388.19 and 202.30 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.89 : 388.19 = 202.30 : x
  2. Step 2: Convert to fraction form
    280.89/388.19 = 202.30/x
  3. Step 3: Cross multiply
    280.89x = 388.19 × 202.30
  4. Step 4: Simplify right side
    280.89x = 78,530.37
  5. Step 5: Solve for x
    x = 78,530.37/280.89
  6. Step 6: Final answer
    x = 279.57

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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.