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Finding the Fourth Proportional to 280.38, 385.61 and 225.03

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Solution

The fourth proportional to 280.38, 385.61 and 225.03 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.38 : 385.61 = 225.03 : x
  2. Step 2: Convert to fraction form
    280.38/385.61 = 225.03/x
  3. Step 3: Cross multiply
    280.38x = 385.61 × 225.03
  4. Step 4: Simplify right side
    280.38x = 86,772.45
  5. Step 5: Solve for x
    x = 86,772.45/280.38
  6. Step 6: Final answer
    x = 309.49

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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.