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Finding the Fourth Proportional to 280.21, 420.14 and 133.99

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Solution

The fourth proportional to 280.21, 420.14 and 133.99 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.21 : 420.14 = 133.99 : x
  2. Step 2: Convert to fraction form
    280.21/420.14 = 133.99/x
  3. Step 3: Cross multiply
    280.21x = 420.14 × 133.99
  4. Step 4: Simplify right side
    280.21x = 56,292.84
  5. Step 5: Solve for x
    x = 56,292.84/280.21
  6. Step 6: Final answer
    x = 200.89

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