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Finding the Fourth Proportional to 280.06, 419.68 and 149.95

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Solution

The fourth proportional to 280.06, 419.68 and 149.95 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 419.68 = 149.95 : x
  2. Step 2: Convert to fraction form
    280.06/419.68 = 149.95/x
  3. Step 3: Cross multiply
    280.06x = 419.68 × 149.95
  4. Step 4: Simplify right side
    280.06x = 62,931.73
  5. Step 5: Solve for x
    x = 62,931.73/280.06
  6. Step 6: Final answer
    x = 224.71

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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.