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Finding the Fourth Proportional to 280.17, 419.94 and 149.94

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Solution

The fourth proportional to 280.17, 419.94 and 149.94 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 419.94 = 149.94 : x
  2. Step 2: Convert to fraction form
    280.17/419.94 = 149.94/x
  3. Step 3: Cross multiply
    280.17x = 419.94 × 149.94
  4. Step 4: Simplify right side
    280.17x = 62,965.80
  5. Step 5: Solve for x
    x = 62,965.80/280.17
  6. Step 6: Final answer
    x = 224.74

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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.