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Finding the Fourth Proportional to 280.16, 419.37 and 149.84

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Solution

The fourth proportional to 280.16, 419.37 and 149.84 is: 224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 419.37 = 149.84 : x
  2. Step 2: Convert to fraction form
    280.16/419.37 = 149.84/x
  3. Step 3: Cross multiply
    280.16x = 419.37 × 149.84
  4. Step 4: Simplify right side
    280.16x = 62,838.40
  5. Step 5: Solve for x
    x = 62,838.40/280.16
  6. Step 6: Final answer
    x = 224.29

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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.