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Finding the Fourth Proportional to 280.14, 420 and 133.83

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Solution

The fourth proportional to 280.14, 420 and 133.83 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 420 = 133.83 : x
  2. Step 2: Convert to fraction form
    280.14/420 = 133.83/x
  3. Step 3: Cross multiply
    280.14x = 420 × 133.83
  4. Step 4: Simplify right side
    280.14x = 56,208.60
  5. Step 5: Solve for x
    x = 56,208.60/280.14
  6. Step 6: Final answer
    x = 200.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.