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Finding the Fourth Proportional to 280.53, 387.03 and 201.84

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Solution

The fourth proportional to 280.53, 387.03 and 201.84 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 387.03 = 201.84 : x
  2. Step 2: Convert to fraction form
    280.53/387.03 = 201.84/x
  3. Step 3: Cross multiply
    280.53x = 387.03 × 201.84
  4. Step 4: Simplify right side
    280.53x = 78,118.14
  5. Step 5: Solve for x
    x = 78,118.14/280.53
  6. Step 6: Final answer
    x = 278.47

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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.