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Finding the Fourth Proportional to 280.36, 419.75 and 197.90

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Solution

The fourth proportional to 280.36, 419.75 and 197.90 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 419.75 = 197.90 : x
  2. Step 2: Convert to fraction form
    280.36/419.75 = 197.90/x
  3. Step 3: Cross multiply
    280.36x = 419.75 × 197.90
  4. Step 4: Simplify right side
    280.36x = 83,068.53
  5. Step 5: Solve for x
    x = 83,068.53/280.36
  6. Step 6: Final answer
    x = 296.29

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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.